How do you simplify $\sqrt{\frac{5}{32 y^{10}}}$ $sqrt(5/(32y^10))$ ?

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Answer 1 · 2018-04-05T16:54:18

$\frac{\sqrt{10 y^{10}}}{8 y^{10}}$ $sqrt (10y^10)/(8y^10)$

$\sqrt{\frac{5}{32 y^{10}}}$ $sqrt(5/(32y^10)$

$:.=sqrt(5)/sqrt(32y^10)$

$:.=sqrt(5)/sqrt(2*2*2*2*2y^10)$

$sqrt2*sqrt2=2$

$:.=sqrt 5/(4 sqrt (2 y^10))$

$:.=sqrt 5/(4 sqrt (2 y^10))xx(4 sqrt (2 y^10))/(4 sqrt (2 y^10))$

$sqrt (2 y^10)*sqrt (2 y^10)=2y^10$

$:.=(cancel4^1sqrt (10y^10))/(cancel16^4xx2y^10)$

$:.=(sqrt (10y^10))/(8y^10)$

How do you simplify sqrt(5/(32y^10))√532y10sqrt(5/(32y^10))?