Question

simplify completely sqrt of 20Y^8

Answer 1

Answer:

Final answer is $2y^4 \sqrt{5}$.

Step-by-step explanation:

Given expression is $\sqrt{20y^8}$.

Now we need to smplify the given expression $\sqrt{20y^8}$.

So begin with factoring 20 into two parts so that one part is perfect square number.

$\sqrt{20y^8}$

$=\sqrt{4 \times 5y^8}$

$=\sqrt{4 y^8} \times \sqrt{5}$

$=2y^4 \times \sqrt{5}$

Hence final answer is $2y^4 \sqrt{5}$.