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

$(1)$

$20=2xx2xx5$

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

$=2sqrt5$

$(2)$

$sqrt3xxsqrt3=sqrt9=3$

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

$=4sqrt3$

$(3)$

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