How do you simplify #sqrt(25)/sqrt(5)#?

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Answer 1 · 2015-12-07T17:02:35

#=color(blue)(sqrt5#

#sqrt25/sqrt5#

We know that :
#sqrt25 =5#

So, the expression now becomes:

#sqrt25/sqrt5 =5/sqrt5#

Rationalising the denominator:

#(5 * color(blue)(sqrt5))/(sqrt5 * color(blue)(sqrt5#

#=(5sqrt5)/(sqrt5*sqrt5)#

#=(cancel5sqrt5)/(cancel5)#

#=color(blue)(sqrt5#