How do you simplify # sqrt(12) / sqrt(50) - sqrt(27) / sqrt(8)#?

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Answer 1 · 2016-01-24T23:57:41

First, try to write the two expressions over equal denominators.

#sqrt(12) / sqrt(50)# - #sqrt(27)/sqrt(8)#

= #(2√3) / (5√2)# - #(3√3)/(2√2)#

= #(4√3 - 15√3) / (10√2)#

= #(-11√3)/(10√2)#

So, = #(-11√3)/(10√2)# is your answer

Practice exercise:

#(√20) / (√252)# - #(√80) / (√112)#

Hopefully you understand now!