Question

simplificar.
\sqrt{54y^{14}}
supongamos que la variable y representa un número real positivo.

Explanation:

Step1: Factor radicand into perfect squares

$\sqrt{54y^{14}} = \sqrt{9 \times 6 \times (y^7)^2}$

Step2: Separate perfect square factors

$\sqrt{9} \times \sqrt{(y^7)^2} \times \sqrt{6}$

Step3: Simplify perfect square roots

$3 \times y^7 \times \sqrt{6}$

Step4: Combine terms

$3y^7\sqrt{6}$

Answer:

$3y^7\sqrt{6}$