How do you simplify square roots? (examples of problems I need help with down below in the description)

Simplify,
1) #sqrt(20)#

2) #12/sqrt(3)#

3) #sqrt(6)/12#

1 Answer
sankarankalyanam
Oct 2, 2017

1) #2sqrt5#
2) #4sqrt3#
3) #1/(2sqrt6)#

Explanation:

1) #sqrt20=sqrt(5*2*2)=sqrt(5*2^2)=2sqrt5#
2) #12/sqrt3=(3*4)/sqrt3=sqrt3*color(red)cancel(sqrt3)*4/color(red)cancelsqrt3=4*sqrt3#
3) #sqrt6/12=color(red)cancelsqrt6/(2*sqrt6*color(red)cancelsqrt6)#
#=1/(2sqrt6)#

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