Question

HELPPPPPPPPP i have the most trouble with math what’s the answer??

Answer 1

Answer: Third option

Explanation:

Remember that:

`\sqrt[n]{x^n}=x`

And the Product of powers property:

`(a^m)(a^n)=a^((m+n))`

The expression is:

`\sqrt[4]{(3)/(2x)}`

To simplify this expression, you need to multiply the denominator and the numerator by
`2^3x^3`. Then:

`\frac{\sqrt[4]{3}}{\sqrt[4]{2x}}=\frac{\sqrt[4]{3(2^3x^3)}}{\sqrt[4]{2x(2^3x^3)}}`

Simplifiying, you get:

`\frac{\sqrt[4]{3(8x^3)}}{\sqrt[4]{2x(2^3x^3)}}=\frac{\sqrt[4]{24x^3}}{\sqrt[4]{2^4x^4}}=\frac{\sqrt[4]{24x^3}}{2x}`