How do you simplify #1/(sqrta+sqrtb)#?

2 Answers
May 13, 2018

Answer:

#(sqrta-sqrtb)/(a-b)#

Explanation:

Expression #= 1/(sqrtx+sqrtb)#

Rationalise the denominator:

Expression #= 1/(sqrtx+sqrtb) xx (sqrta - sqrtb)/ (sqrta - sqrtb)#

#= (sqrta-sqrtb)/(a-b)#

May 13, 2018

Answer:

On simplification it would be#(sqrta-sqrtb)/(a-b) #

Explanation:

We have
#1/(sqrta+sqrtb)#
Multiplying and diving by #sqrta-sqrtb#
We get #(sqrta-sqrtb)/(a-b)# which is the possible simplest form.