How to solve 18/√3 ?

1 Answer
Jim G.
Jan 22, 2018

#6sqrt3#

Explanation:

#"to simplify "18/sqrt3#

#"make use of the following "#

#•color(white)(x)sqrtaxxsqrta=a#

#color(blue)"as an example "#

#sqrt100xxsqrt100=10xx10=100#

#"what we have to do here is "color(blue)"rationalise the denominator"#

#"this means eliminating the radical from the denominator"#

#"multiply the numerator/denominator by "sqrt3#

#rArr18/sqrt3xxsqrt3/sqrt3=(cancel(18)^6sqrt3)/cancel(3)^1=6sqrt3#

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