Question

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

Answer 1

Answer: Third option

Step-by-step explanation:

Remember that:

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

And the Product of powers property:

$(a^m)(a^n)=a^{(m+n)}$

The expression is:

$\sqrt[4]{\frac{3}{2x}}$

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:

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