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THIS IS EASY, BUT I NEED WORK SHOWN, PLEASE HELP!

What is √12x^8 /√3x^2 in simplest form?

A) 2√3x^4

B)√15x^5

C)2x^2

D)2x^2

1 Answer

1 vote
Here's how you can simplify the equation:

First off we need to simplify √12x^8, and write it as (√3x^2)(√4x^6),

We could then find the answer:


\frac{ \sqrt{ {12x}^(8) } }{ \sqrt{ {3x}^(2) } } \\ = \frac{ \sqrt{ {3x}^(2) } * \sqrt{{4x}^(6) } }{ \sqrt{ {3x}^(2) } } \\ = \sqrt{ {4x}^(6) } \\ = {2x}^(3)
Thus the answer is 2x^3.

I notice that one of your answers (C,D) are repeated,perhaps you typed something wrong? The answer is either C or D in that case,do tell me if you cannot find 2x^3 at all tho.

Hope it helps!
User Maniganda Prakash
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