Question

What is the simplified form of the following expression? Assume x>0.
4square root of 3/2x

Answer 1

4/24x+3 over2x also know as b on edge

Explanation:

just did it

Answer 2

For this case we must simplify the following expression:

`4 \sqrt {\frac {3} {2} x}`

We have to define properties of powers and roots that:

`\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}\\a \sqrt [n] {b} = \sqrt [n] {a ^ n * b}`

Then, rewriting the expression we have:

`\sqrt {4 ^ 2 * \frac {3} {2} x} =\\\sqrt {16 * \frac {3} {2} x} =\\\sqrt {\frac {48} {2} x} =\\\sqrt {24x} =\\\sqrt {2 ^ 2 * 6 * x} =\\2 \sqrt {6x}`

Answer

`2√(6x)`