How do you simplify $10/(sqrt(20)*sqrt(5)$ ?

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Answer 1 · 2015-12-03T08:04:59

$=color(blue)(1$

The expression given is
$10/(sqrt20*sqrt5)$

We first simplify the radicals by prime factorisation

Now, our expression becomes:

$10/(sqrt20*sqrt5)=10/(2sqrt5*sqrt5)$

$=10/(2*color(blue)((sqrt5*sqrt5))$

$=10/(2*5)$

$=10/10$

$=color(blue)(1$

How do you simplify 10/(sqrt(20)*sqrt(5)10/(sqrt(20)*sqrt(5)?