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

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Answer 1 · 2018-05-13T12:41:35

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

Expression $= 1/(sqrtx+sqrtb)$

Rationalise the denominator:

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

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

Answer 2 · 2018-05-13T12:42:45

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

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

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