1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adell [148]
2 years ago
11

Simplifying Nonperfect Roots

Mathematics
1 answer:
Bond [772]2 years ago
3 0
Short Answer:Choice C [Third one down]
Remark

Start with the number so I can talk about the basic principle at work. The way to work it is to factor 162 into prime factors and hope there are at least 3 that are the same. 
162 = 2 * 81
162 = 2 * 3 * 3 * 3 * 3

Now When you take the cube root of that, you get \sqrt[3]{2*2*2*2*3}
Here's the rule for a cube root. For every 3 prime factors under the cuberoot sign, you take out one and throw the other two away. So for cube root of 81,
you would factor it as ∛(81) = ∛(3 * 3 * 3 * 3) = 3∛3.

So out of four 3s under the cube root sign,  you have 1 outside the root sign and one inside the root sign. 2 of the four 3s have been thrown away.

Continuation.
X first
You want 2 xs outside the root sign
∛(x * x * x * x * x *x ) = (x * x)  You have thrown away 2 xs for every x outside the cube root sign
C = 6 There are no left overs.

Y second
For the ys, you need 1 outside and 2 inside the root sign. that's because you need 5 altogether.
∛(y * y * y * y * y) = y ∛y^2

Answer 
c = 6; d = 2
Choice C <<<<<< answer 
You might be interested in
Solve 3x-4= 7 you may use the flowchart to help you if you wish
laiz [17]

Answer:

x = 3 2/3

Step-by-step explanation:

Given

3x - 4 = 7

Add 4 to both sides of the equation

3x - 4 + 4 = 7 + 4

3x = 11

Divide both sides by 3

3x/3 = 11/3

x = 3 2/3

5 0
2 years ago
Read 2 more answers
For a back to school sale the price of a calculator is reduceded from 70% to $59.50. What is the answer
Leona [35]
Thats what i came up with $25.50
7 0
3 years ago
Alpha printing will make 400 brochures for $100. Omega printing will make 1,000 brochures for $100. How much money will you save
Dmitriy789 [7]

it is given in the question that

Alpha printing will make 400 brochures for $100. Omega printing will make 1,000 brochures for $100.

For Alpha, cost of 1 brochure is

= \frac{100}{400} = $0.25

For Omega,

Cost of 1 brochure is

= \frac{100}{1000} = 0.10

So choosing Omega printing, you will save

= 0.25-0.10 = $0.15

on each brochure .

6 0
3 years ago
Anyone understand this if so plz respond with answer
Archy [21]

Answer:

I dont know the answer

Step-by-step explanation:

But you can find the answer by figuring out what a domain and a range iss and chose which one is a domain and a range you can find what a domain and a range is on google

6 0
3 years ago
Read 2 more answers
John mows 247 square feet of lawn per minute. how many square yards of lawn does he mow per hour?
Black_prince [1.1K]
1647. 1 hour=60 minutes. John can mow 247 square feet per minute, so he can mow 60*247=14820 square feet per hour. 1 yard=3 feet, so 1 square yard =3^2=9 square feet, so in the same duration of time, John can mow 14820/9=1647 square yards (approximately) per hour. 
6 0
3 years ago
Other questions:
  • I NEED HELP WITH MATH<br><br>Question: (In the pic)
    7·1 answer
  • 8 copies of the sum of 4 thirds and 2 more? (Show your work)
    5·1 answer
  • A group of hikers buys 8 bags of mixed nuts. Each bag of nuts contains 3 1/2 ounces of mixed nuts. There are 12 hikers on the tr
    7·1 answer
  • The length of a rectangle is 3 times it's width. The difference between the length and width is 8 feet. Determine the rectangles
    13·1 answer
  • In a particular game, a spinner with four equally-sized sectors labeled 1, 4, 6, and 8 is spun twice. One turn is considered 2 s
    14·2 answers
  • The length of a rectangle is 5 feet more than twice the width. The perimeter is 28 feet. Find the length and width.
    15·1 answer
  • Answer this question please branliest going :) thanks
    11·1 answer
  • Jane charges a flat fee of $12 when she babysits plus $8 extra each
    10·1 answer
  • A satellite orbits the Earth with an elliptical orbit modeled by x squared over 43 million eight hundred twenty four thousand fo
    15·2 answers
  • The volume of the fish tank needs to be tripled. What scale factor should be applied to the dimensions to produce a fish tank wi
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!