How do i simplify this?

Mathematics

1 answer:

Ksivusya [100]3 years ago

3 0

Answer:

36x^2

Step-by-step explanation:

Let's first get rid of the 4 in the denominator by simplifying.

(4sqrt(9x^3))/(sqrt(4x))

Now square the top and bottom to get rid of square roots.

16(9x^3)/(4x)

Simplify again.

4(9x^2)

Combine

36x^2

You might be interested in

Chelsea and Anika are trying to determine whether ΔABC and ΔPRQ can be proven congruent through rigid motions.

Lana71 [14]

Answer:

C. Anika Only

Step-by-step explanation:

I'm gonna keep it simple. I took the test and got it right.

3 0

3 years ago

Read 2 more answers

Which expressions are equivalent to 2 (three-fourths x + 7) minus 3 (one-half x minus 5)? Check all that apply.

Mariulka [41]

Answer:

$2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))$

$2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)$

Step-by-step explanation:

The original expression given in the text is

$2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)$ (1)

And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:

$\frac{3}{2}x+14-\frac{3}{2}x+15$ (2)

Let's verify each of the other expressions separately. For the first one:

$2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))$

We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get

$2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)$

Which is equivalent to (1).

For the 2nd one:

$2(\frac{3}{4}x)+2(7)+3(\frac{1}{2}x)+3(-5)$

This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.

If we write it explicitely in fact, we get

$\frac{3}{2}x+14+\frac{3}{2}x-15$