Question

Which inequality represents all values of x for which the product below is defined?

Answer 1

Step 1 ) Separate the 4 and x.

$\displaystyle\sqrt{4x} * \sqrt{x+2}$

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$\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}$

Step 2 ) Simplify the square root of 4.

$\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}$

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$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

Step 3 ) Simplify.

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

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$\displaystyle\ 2 \sqrt{x(x+2)}$

This is now in its simplest form, so the final answer is...

$\displaystyle\ 2 \sqrt{x(x+2)}$

or it could be...

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

Either one is correct. Only difference is one is in simplest form and one isn't.

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- Marlon Nunez

Answer 2

Answer: x>_0

Step-by-step explanation:

a p e x