How do you simplify # 3 /sqrt18#?

1 Answer
Apr 3, 2016

Answer:

#sqrt2/2#

Explanation:

Turn #18# into a surd form, by looking at its factors and identifying square numbers and doing the following

#sqrt18 = sqrt(9* 2) = sqrt9 * sqrt2 = 3sqrt2#
#therefore sqrt18 = 3sqrt2#

Now substitute that into the fraction and simplify by cancelling out the #3#'s.

#3/sqrt18 = 3/(3sqrt2) = 1/sqrt2#

Rationalise the denominator, or make it not a square root by multiplying by #sqrt2/sqrt2#.

#1/sqrt2 * sqrt2/sqrt2 = sqrt2/2#