Question

simplify \\(\sqrt{16y^{16}}\\). options: \\(8y^8\\), \\(4y^4\\), \\(4y^8\\), \\(8y^4\\)

Explanation:

Step1: Split root into product

$\sqrt{16y^{16}} = \sqrt{16} \times \sqrt{y^{16}}$

Step2: Simplify square root of 16

$\sqrt{16} = 4$

Step3: Simplify root of variable term

$\sqrt{y^{16}} = y^{\frac{16}{2}} = y^8$

Step4: Multiply the two results

$4 \times y^8 = 4y^8$

Answer:

$4y^8$