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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