Answer:
Final answer is [tex]2y^4 \sqrt{5}[/tex].
Step-by-step explanation:
Given expression is [tex]\sqrt{20y^8}[/tex].
Now we need to smplify the given expression [tex]\sqrt{20y^8}[/tex].
So begin with factoring 20 into two parts so that one part is perfect square number.
[tex]\sqrt{20y^8}[/tex]
[tex]=\sqrt{4 \times 5y^8}[/tex]
[tex]=\sqrt{4 y^8} \times \sqrt{5}[/tex]
[tex]=2y^4 \times \sqrt{5}[/tex]
Hence final answer is [tex]2y^4 \sqrt{5}[/tex].
