How do you simplify #sqrt2/(2sqrt3)#?

2 Answers
Aug 13, 2016

Answer:

#1/(sqrt(6))#

Explanation:

Can write #2 = sqrt(2)sqrt(2)#

#(sqrt(2))/(sqrt(2)sqrt(2)sqrt(3)) = 1/(sqrt(2)sqrt(3)) = 1/(sqrt(6))#

Aug 13, 2016

Answer:

#sqrt6/6#

Explanation:

It is generally not good practice to leave a radical in the denominator so we try to change the denominator into a rational number.

This is called rationalising the denominator.

#sqrt2/(2sqrt3) xxsqrt3/sqrt3 " "sqrt3/sqrt3 = 1#

=#sqrt6/(2 xx 3)#

#sqrt6/6#