Question

rationalise the denominator of 3 upon √2-√5
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Answer 1

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$\red{\bold{\underline{\underline{QUESTION:-}}}}$

rationalise the denominator of 3 upon √2-√5

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$➪ \frac{3}{ \sqrt{2} - \sqrt{5} }$

$➪ \frac{3}{ \sqrt{2} - \sqrt{5} } \times \frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} + \sqrt{5} }$

$➪ \frac{3( \sqrt{2} + \sqrt{5} ) }{ ({ \sqrt{2}) }^{2} - {( \sqrt{5}) }^{2} } = \frac{3( \sqrt{2} + \sqrt{5} )}{2 - 5}$

$➪ \frac{༽3( \sqrt{2} + \sqrt{5} ) }{ - ༽3} = - ( \sqrt{2 } - \sqrt{5} )$

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