Question

simplificar.
\sqrt{20w^{15}}
suponer que la variable representa un número real positivo.

Explanation:

Step1: Factor into perfect squares

$\sqrt{20w^{15}} = \sqrt{4 \times 5 \times w^{14} \times w}$

Step2: Split the square root

$\sqrt{4} \times \sqrt{5} \times \sqrt{w^{14}} \times \sqrt{w}$

Step3: Simplify perfect square roots

$\sqrt{4}=2$, $\sqrt{w^{14}}=w^7$
$2 \times \sqrt{5} \times w^7 \times \sqrt{w}$

Step4: Combine remaining radicals

$2w^7\sqrt{5w}$

Answer:

$2w^7\sqrt{5w}$