What is the square root of 25 over 144?

Question

9100 views around the world

You can reuse this answer
Creative Commons License

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#