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Karolina [17]
3 years ago
15

Simplify sqrt 8y/sqrt y

Mathematics
2 answers:
pishuonlain [190]3 years ago
5 0

\frac{ \sqrt{8y} }{ \sqrt{y} }  =  \\

\sqrt{ \frac{8y}{y} }  =  \\

\sqrt{8}  =

\sqrt{ {2}^{2} \times 2 }  =

\sqrt{ {2}^{2} }  \sqrt{2}  =

\sqrt{4}  \sqrt{2}  =

2 \sqrt{2}

Eddi Din [679]3 years ago
3 0

\frac{\sqrt{8y} }{\sqrt{y} }

Answer:

2\sqrt{2}

I turned the numerator into an exponent: 2 \frac{3}{2}

\frac{2^{\frac{3}{2}}\sqrt{y}}{\sqrt{y}}

The \sqrt{y} will cancel out, leaving 2 \frac{3}{2}.

2^{\frac{3}{2}}=2\sqrt{2}

<em>Hope this helps!!!</em>

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