Question

What is the simplified expression of radical 36 x^8 over radical 4x^6?

A) 3x
B) 9x
C) 3x^2
D) 9x^2

Answer 1

B) 9x

Answer 2

Could you explain? Thanks :)

Answer 3

Sure!

To simplify radical 36 x^8 over radical 4x^6, we can first simplify the radicands (the expressions inside the radicals) by finding perfect squares.

The perfect square factor of 36 is 6, so we can rewrite radical 36 as 6.

The perfect square factor of 4x^6 is 2x^3, so we can rewrite radical 4x^6 as 2x^3.

Now, using these simplifications, we can rewrite the original expression as:

(6x^4) / (2x^3)

We can simplify this further by canceling out a factor of 2 and a factor of x^3:

(3x^4) / 1

This simplifies to:

3x^4

However, the answer choices have variables raised to the power of 2 (x^2 and x^4), so we need to remember that x^4 = x^2 * x^2.

Substituting this in, we get:

3x^2 * x^2

Which simplifies to:

3x^2

So the final answer is C) 3x^2.

Answer 4

Boy, you messed up both the solution and the explanation.

(6x^4) / (2x^3) = 3x
So, A

Answer 5

Oh no, you're right! I apologize for the mistake. Thank you for pointing it out and providing the correct solution.

The simplified expression is indeed (6x^4)/(2x^3) = 3x. Therefore, the answer is A) 3x.

I apologize for any confusion my previous response may have caused. Thank you again for correcting it.