How do you simplify $sqrt0.08$ ?

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Answer 1 · 2016-03-16T23:21:47

You may begin by writing $sqrt0.08=sqrt(8/100)$

Then we apply the 'radical rules':
$sqrt(a/b)=sqrta/sqrtb$ and $sqrt(axxb)=sqrtaxxsqrtb$

Translated to our problem:
$=sqrt8/sqrt100=sqrt8/sqrt(10^2)=sqrt8/10$

But since $8=4xx2=2^2xx2$ :
$->sqrt8=sqrt(2^2)xxsqrt2=2sqrt2$

Then we get to:
$=(2sqrt2)/10=1/5sqrt2$

How do you simplify sqrt0.08sqrt0.08?