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

Question

Simplify,
1) #sqrt(20)#

2) #12/sqrt(3)#

3) #sqrt(6)/12#

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Answer 1 · 2017-08-01T14:02:23

Please see the answers below

#(1)#

#20=2xx2xx5#

#sqrt20=sqrt(2xx2xx5)=sqrt(2xx2)xxsqrt(5)#

#=2sqrt5#

#(2)#

#sqrt3xxsqrt3=sqrt9=3#

#12/sqrt3=(12xxsqrt3)/(sqrt3xxsqrt3)=(12xxsqrt3)/3#

#=4sqrt3#

#(3)#

#sqrt6/12=sqrt6/(6xx2)=1/(2sqrt6)#