How do you simplify $sqrt4/(2sqrt20)$ ?

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Answer 1 · 2017-02-08T01:02:45

We may start by realizing that $20=4xx5$

$=cancelsqrt4/(2*cancelsqrt4*sqrt5)=1/(2sqrt5)$

To make it look better, we multiply by $1$ , disguised as $sqrt5/sqrt5$

$=1/(2sqrt5)xxsqrt5/sqrt5=sqrt5/(2sqrt5^2)=sqrt5/(2*5)=1/10sqrt5$

How do you simplify sqrt4/(2sqrt20)sqrt4/(2sqrt20)?