47.2k views
3 votes
Which expression is equivalent to sqrt 10 / 4 sqrt 8

Which expression is equivalent to sqrt 10 / 4 sqrt 8-example-1
User Raj Bhatia
by
8.0k points

2 Answers

3 votes

Answer:

Explanation:

Keep in mind that we want to eliminate the radical from the denominator. Note that the denominator is equal to

8^(1/4) = (2^3)^(1/4).

If we multiply the entire given expression by 2^(1/4), we get:

2^(1/4) √10

----------- * -----------------

2^(1/4) (2^3)^(1/4)

or

2^(1/4) √10 2^(1/4) · √10 2^(1/4) · 10^(2/4)

----------- * ----------------- = ---------------------- = ---------------------------

2^(1/4) (2^3)^(1/4) 2^(1/4 + 3/4) 2

2^(1/4) · 10^(2/4) 2^(1/4) · 100^(1/4) 200^(1/4)

= ------------------------------ = -------------------------- = --------------------

2 2 2

This result is the same as the first answer choice:

fourth root of 200 over 2

User Thclpr
by
8.1k points
3 votes

Answer:

A!!!!!!!

Explanation:

User Greeneco
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories