Question

what is the value of 1/√9 - √8​

Answer 1

Step-by-step explanation:

$\frac{1}{ \sqrt{9} - \sqrt{8} } = \frac{1}{ \sqrt{9} - \sqrt{8} } \times \frac{ \sqrt{9} + \sqrt{8} }{ \sqrt{9} + \sqrt{8} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \sqrt{9} + \sqrt{8} }{ {( \sqrt{9} - \sqrt{8}) }^{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \sqrt{9} + \sqrt{8} }{9 - 8} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \sqrt{9} + \sqrt{8} }{1} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{9} + \sqrt{8} \\ \\ The \: value \: of \: \frac{1}{ \sqrt{9} - \sqrt{8} } \: is \: \sqrt{9} + \sqrt{8}$

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Answer 2

Step-by-step explanation:

3+2√2 will be the answer