Question

Rationalise the denometer
1/√5 +√2​

Answer 1

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Rationalize $\dfrac{1}{\sqrt{5}+ \sqrt{2}}$

$\huge{\mathfrak{\blue{\underline{\underline{\pink{SOLUTION:-}}}}}}$

$\mapsto \frac{1 }{ \sqrt{5} + \sqrt{2} }$

$\mapsto \frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5 } - \sqrt{2} }{ \sqrt{5} - \sqrt{2} }$

$\mapsto \frac{ \sqrt{5} - \sqrt{2} }{ ({ \sqrt{5}) }^{2} - ( { \sqrt{2} )}^{2} }$

$\mapsto \frac{ \sqrt{5} - \sqrt{2} }{5 - 4}$

$\mapsto \frac{ \sqrt{5} - \sqrt{2} }{1}$

$\mapsto \huge \sqrt{5} - \sqrt{2}$

Answer 2

Answer:

1/root5+root2

1/root5+root2×root5-root2/root5- root2

root5-root2/(root5)^2- (root2)^2

root5-root2/5-2

root5-root2/3