Question

The value of 1/(sqrt(9) - sqrt(8))


plz plz plz help fast it is urgent​

Answer 1

$\sf \: \frac{1}{ \sqrt{9} - \sqrt{8} }$

$\sf \: = \frac{1}{ \sqrt{9} - \sqrt{8} } \times \frac{ \sqrt{9} \times \sqrt{8} }{ \sqrt{9} \times \sqrt{8} }$

$( \sf \green{multiplying \: and \: dividing \: by \: conjugate \: of \: denominator \: })$

$= \sf \: \frac{ \sqrt{9} + \sqrt{8} }{ {( \sqrt{9} )}^{2} - {( \sqrt{8}) }^{2} }$

$= \sf \: \frac{3 - 2 \sqrt{2} }{9 - 8}$

$\sf \boxed{\green{ \sf = 3 - 2 \sqrt{2} } }$