Question

use radical notation to write the expression. assume that all variables represent positive real numbers.
$2m^{\frac{1}{2}}$
$2m^{\frac{1}{2}} = 2\sqrt{m}$

Explanation:

Step1: Recall exponent-radical rule

For positive real numbers, $x^{\frac{1}{n}} = \sqrt[n]{x}$. Here $n=2$, so $m^{\frac{1}{2}} = \sqrt{m}$.

Step2: Apply rule to the expression

The coefficient 2 remains unchanged, so substitute $m^{\frac{1}{2}}$ with $\sqrt{m}$.
$2m^{\frac{1}{2}} = 2\sqrt{m}$

Answer:

$2\sqrt{m}$