Question

simplify.
\sqrt{49y^{10}}
assume that the variable y represents a positive real number.

Explanation:

Step1: Split root into product

$\sqrt{49y^{10}} = \sqrt{49} \times \sqrt{y^{10}}$

Step2: Simplify square root of 49

$\sqrt{49} = 7$

Step3: Simplify root of variable term

$\sqrt{y^{10}} = y^{\frac{10}{2}} = y^5$

Step4: Multiply the simplified terms

$7 \times y^5 = 7y^5$

Answer:

$7y^5$