Question

simplificar.
\sqrt{64y^{14}}
suponer que la variable y representa un número real positivo.

Explanation:

Step1: Split root into product terms

$\sqrt{64y^{14}} = \sqrt{64} \times \sqrt{y^{14}}$

Step2: Simplify square root of 64

$\sqrt{64} = 8$

Step3: Simplify root of variable term

$\sqrt{y^{14}} = y^{\frac{14}{2}} = y^7$

Step4: Multiply simplified terms

$8 \times y^7$

Answer:

$8y^7$