How do you simplify $sqrt14/sqrt45$ ?

Question

1592 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-08T15:15:01

use of the property

$sqrt(a)/sqrt(b) = sqrt(a/b)$

now applying the same property here in the question

$sqrt(14)/sqrt(45) = sqrt(14/45)$

factorizing the terms

$sqrt((2*7)/(3*3*5)) = sqrt((2*7)/(3^2*5))$

taking out 3 from the square root

$(1/3)sqrt((2*7)/5)$

which is the final answer according to me

feel free to correct the answer

Cheerio!

How do you simplify sqrt14/sqrt45sqrt14/sqrt45?