How do you simplify #sqrt14/sqrt45#?

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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!