How do you simplify #sqrt14/sqrt45#?

1 Answer
Jul 8, 2015

Answer:

use of the property

#sqrt(a)/sqrt(b) = sqrt(a/b)#

Explanation:

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!