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

Question

2080 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-13T21:55:30

$1/(sqrt(6))$

Can write $2 = sqrt(2)sqrt(2)$

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

Answer 2 · 2016-08-13T22:43:35

$sqrt6/6$

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.

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

= $sqrt6/(2 xx 3)$

$sqrt6/6$

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