How do you simplify #sqrt36/sqrt12#?

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Answer 1 · 2018-07-21T15:03:52

#\sqrt3#

#\frac{\sqrt36}{\sqrt12}#

#=\sqrt{frac{36}{12}}#

#=\sqrt3#

Answer 2 · 2018-07-21T15:23:07

#sqrt3#

The quotient of the square roots is the same as the square root of the quotient. With this in mind, we can rewrite this as

#sqrt(36/12)#, which simplifies nicely to

#sqrt3#

Hope this helps!

Answer 3 · 2018-07-21T15:32:04

#sqrt12/2#

#sqrt36/sqrt 12#

#:.=6/sqrt 12#

#:.=6/sqrt 12 xx sqrt 12/sqrt 12#

#:.=sqrt 12 xx sqrt 12=12#

#:.=(cancel 6^1 sqrt 12)/cancel 12^2#

#:.=sqrt 12/2#