What is the square root of 25 over 144?

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Answer 1 · 2018-05-31T12:32:41

See a solution process below:

If the question is: What is $sqrt(25/144)$ ?

We can use this rule for radicals to simplify the expression:

$sqrt(color(red)(a)/color(blue)(b)) = sqrt(color(red)(a))/sqrt(color(blue)(b))$

$sqrt(color(red)(25)/color(blue)(144)) => sqrt(color(red)(25))/sqrt(color(blue)(144)) => 5/12$

Answer 2 · 2018-05-31T12:33:51

$5/12$

since
$25=5^2$
and $144=12^2$
we get
$sqrt(25/144)=5/12$