Respuesta :

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].

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