How do I simplify radicals?

Answers

Answer 1

Answer:

Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Click on the link to see some examples of Prime Factorization. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.

Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Example:

Example 1 – Simplify: Example 1

Step 1: Find the prime factorization of the number inside the radical.  

252=2*2*3*3*7

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

√252= √2*2*3*3*7

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

2*3√7

Step 4: Simplify the expressions both inside and outside the radical by multiplying.  

6√7

Pls Mark Brainliest

Answer 2
Step 1: Find the prime factorization of the number inside the radical.
Step 1
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 2
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 3
Step 4: Simplify the expressions both inside and outside the radical by multiplying.

Related Questions

Which expression is equivalent to 1/3 p + 15? (4 points)
Select one:
a.1/3 (p + 45)
b. 1/3 (p + 5)
c. 3(p + 45)
d. 3(p + 5)

Answers

Answer: The correct answer is A. 1/3 (p+45)

Step-by-step explanation:

The expressions are equivalent because if you use distributive property you'll get 1/3×p + 45×1/3 Then you simply to 1/3p + 15 and its equivalent.

Answer: A. 1/3 (p+45)

part 2 from my last question

Answers

Answer:

y=4x+12

Step-by-step explanation:

Same reason from last time he started with 12 and gains 4 each week

Y=4x+2 is the answer

Charles writes the number 83,334 .The value of the digit 3 in the thousandths place is 10 times the value of the digit 3 in what place value

Answers

Answer:

Hundredths

Step-by-step explanation:

The Hundredths place

A man has three children who’s ages are 7 years,12 years and 24 years.Find the ratio of their ages .I NEED IT TODAY PLEASE

Answers

7:12:24 divided by 3 =2:4:8 = 1:2:3

explain how to add the additive inverse to find the value of an expression such as -4 1/4 - (-2 1/4)

Answers

Answer:can you explain more so i can help you.

Step-by-step explanation:

I confused to uhh give me a second

I will brainly whoever answers this first aha

Answers

Answer:

20

Step-by-step explanation:

The answer is 20.
There are two ways you can solve this:

1) you can multiply across. We know that 12x5=60 so we can do 4x5 to get 20.

2) also, you can cross multiply. Multiply 60x4=240 and then divide 240 by 12 to get 20.

Hope this helps:)

A garden table and bench cost $655 combined. The garden table cost $45 less than the bench. What is the cost of the bench?

Answers

Answer:

$444

Step-by-step explanation:

let the cost of the bench = x

 

the cost of the garden table is x + 94

 so,

x + (x + 94) = 794

 

2x + 94 = 794

 

2x = 700

 

x = 350

 

The bench costs $350 and the garden table costs 350 + 94 = $444

The cost of the bench for the condition is 4350.

What are Mathematical operators?

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.

Given the total cost of the bench and table = $655

The garden table cost $45 less than the bench,

let the cost of the bench be x

cost of table is x - 45

according to the conditions,

x  + x - 45 = 655

2x = 655 + 45

x = 722/2

x = $350

Hence the cost of the bench is $350.

Learn more about Mathematical operators;

https://brainly.com/question/8959976

#SPJ2

9. The following set represents a set of rational
numbers:
9
{-12.6, 11/15, ____,0}
Which could be the missing value in the set?

Answers

Answer:

B is the answer

Step-by-step explanation:

HIIIIII I JUST GOT BRAINLY AND YEEEETTT

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Kieran subscribes to a text messaging service on his cell phone. His monthly bill for the service is given by the equation b = 0.25t, where b is the bill amount and t is the number of texts.

The constant of proportionality in terms of cost per text is ____
It is not 8.

Answers

Answer:

25 cents

Step-by-step explanation:

The question doesn't make a lot of sense, but I think the answer is $0.25, because In the equation b=0.25t, each text costs 25 cents

b=0.25t

The cost of proportionality is 0.25

What is -7/10 / 2/5 as a fraction in simplest form

Answers

Answer:

-7/25

Step-by-step explanation:

hope get Brainliest

Answer:

 -1 3/4

Step-by-step explanation:

To divide fraction you have to turn the equation into a multiplication equation. You do this by flipping 2/5 to get 5/2 and then you can solve your equation.

-7/10*5/2 = -7/4 (using cross multiplication you can simplify 10 and 5, making 10 = 2 and 5 = 1)

-7/4 is an improper fraction so you can turn it into a proper fraction which is -1 3/4

Hope this helps, Have a nice day :)

Figure D’E’F’G’ is a dilation with center (0, 0) of figure DEFG. What is the scale factor?

Answers

Answer:

0,0

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Lets start by finding out the cordinates first!

these are the ones we start off with!

D (1,1)  

E (2,2)

F (4,2)

G (3,1)

now we need to find the prime image cords.

D' (4,4)

E' (8,8)

F' (16,8)

G' (12,4)

now what we are tying to find is the scale factor, so we need to check what number is multipled by those cordinates to get the prime cordinates.

D is (1,1) and D' is (4,4) but we know that 1x4 is 4 so 4 is the scale factor that we multiply all the numbers by ! i hope that made sense !

What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

Step 1

(1,2) (4,4)

First we are going to pick two point on the line.

Step 2

(y2-y1) / (x2-x1)

(4-2) / (4-1)

in the first set we label x as x1 and y as y1, then we do the same with the other set but with x turning into x2 and y turning into y2. We then plug them into the equation.

Step  3

(2)/(3)

or

2/3

Now we solve what is in the parentheses (4-2) is 2, and (4-1) is 3. We then take away the parentheses and have 2/3. keep 2/3 as a fraction, do not change it to a decimal.

The answer would be 2/3

Mia borrowed $800 from her bank at 3% interest for 6 months. How much money, including the original amount, will she have to pay back?

Answers

Answer:

Mia will have to pay back $824

Step-by-step explanation:

$800 + 3%

3% = 800*0.03 = $24

$800 + $24 = $824

Help me pls let me know if my answer is right or not if not pls let me know the correct answer. ASAP

Answers

Answer:

7.5

Step-by-step explanation:

Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:

270/360; 360 being the total angle measurement of a circle

270/360 simplifies to 3/4

The fraction represents how much of the circle that arc covers

Now we have to find the circumference which would be

2([tex]\pi \\[/tex])r

r = 5 therefore: 2([tex]\pi \\[/tex])5 = 10[tex]\pi \\[/tex]

Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length

Which gives us 7.5[tex]\pi \\[/tex], or 23.55

The correct answer is 7.5

Please answer me QICK.
Can the square root also be a decimal number?

Answers

Answer:

yes

Step-by-step explanation:

Yes it can also be a decimal number..

plz help me with this please

Answers

Answer:

the first box go in the tiered slotthe second box go in the first slotthe tiered box go in the forth slotthe forth box go in the sixth slotthe fifth box go in the second slotthe sixth box go in the seventh slotand the seventh box go in the tiered slot

      :3

Tom has 28 milk chocolates, and Emily has 24 dark chocolates. They have to divide these chocolates into small packets that each have the same number of dark chocolates and the same number of milk chocolates. They also want to use all of the chocolates.

The maximum number of packets they can make is

. To make the maximum number of packets, each packet should have

milk chocolates and

dark chocolates.

Answers

4 milk chocolatero need to be removed to have even amounts

24+24= 48

24 packets with 1 of each(2 count) is one possibility.

You can have less packets with more chocolates inside like 12 packets with 4 count(2 of each)

Any combination with result 48. To use al chocolatesl : 4 packets:Each packet has 6dark and 7milk choc

Find the slope of the line in each graph below.

I will give brainliest to whoever answers first

Answers

Graph A: 1/4

Graph B: 1

Graph C: -1/3

The blue dot is at what value on the number line. ?, -3, -1

Answers

Answer:

-5?

Step-by-step explanation:

is this a pattern? if so then the value is -5

Answer:

-5

Step-by-step explanation:

Pls help this is my last problem today and idk how to do it..

Answers

C= 7^2 plus 9^2= 122
C=sqrt 122

20 POINTS AND MARK BRAINLEST

Answers

Answer:

A) Communication

Step-by-step explanation:

they represent early form of communication in the past, the majority of humans were nomadic.

a- communication i am pretty sure

IM TIMMEDDDD!!! Parallel lines t and u are cut by two transversals, r and s, which intersect line u at the same point.

Parallel lines t and u are cut by 2 transversals, 4 and s, which intersect line u at the same point. Clockwise from top left, the angles formed with lines r and t are (3 x + 17) degrees, blank, blank, blank; formed with lines s and t are blank, blank, blank, 46 degrees; formed with lines r, s, and u are blank, blank, blank, (4 x minus 8) degrees, 2, 1.

What is the measure of angle 2?
25°
42°
46°
88°

Answers

Answer: 25

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

I got it right on the quiz.

PLZ HELP
The coordinates of a point on a coordinate grid are (−3, 7). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are

(−3, −7)
(3, −7)
(−3, 7)
(3, 7)

Answers

Reflecting the X axis flips to the left or right. -3 would become positive 3. The answer is (3, 7)
3 and -7 would be the answer

What I put in the boxes is wrong. Help

Answers

Answer:

Box 1) 16b

Box 2) 12

Box 3) 15b

Box 4) b=-3

Step-by-step explanation:

4(4) equals 16. 4(3) equals 12. 16 plus 2 equals 18-3 equals 15.=, and -33 minus 12 equals -45. -45 divided by 15 equals -3.

i need help again, can someone help me?

Answers

Answer:

9 x 10 to the 15th power.

Step-by-step explanation:

I hated I-ready. Good luck!!!

Answer:

yeah she already answered it but that would also be my answer.

Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she substitute 4,383 in the simple interest formula ?

Answers

Answer:

4833 is the principal (p)

Step-by-step explanation:

I = prt .... i: interest     p: principal     r: rate      t: time

$4833 is the principal (p)

The populations of two towns, town A and town B, are being compared. The population of town A is 4×10^4 and the population of B is 2×10^5. How many times greater is the population of town B than town A?

A)0.2


B)0.5


C)2


D)5

Answers

Answer: D)5

Step-by-step explanation:

A = 40,000

B = 200,000

200,000 / 40,000 = 5

Sorry if I got it wrong.

Joe goes to the store and buys cokes. He can buy 10 cokes for $5.50. What is the unit rate from the problem?

Answers

$5.50/10
= $0.55

Therefore one coke costs $0.55.

Answer:

$5.50 divided by 10 is $0.55 per each unit of coke

Step-by-step explanation:

Solve each equation algebraically using if–then statements to justify each step. 1. 5 + 4 = 19

Answers

Answer:

If you have 5 slices of bacon and you add 4 more then you get 9, not 19.

This just doesn’t make any sense

Kevin is making hamburger patties for a family reunion. If he has 14_1/2 pounds of hamburger meat, how many 1/4-pound hamburger patties can he make?

14 1/2 hamburger patties
116 hamburger patties
18 1/2 hamburger patties
58 hamburger patties

Answers

58 hamburger patties

Step-by-step explanation:

You can divide 14 by 0.25 which equals 56 and then the rest of it will equal 2 so all together it will make 58

Answer: The answer is 18 1/2 hamburger patties.

Step-by-step explanation:

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