Question

rationalize the denominator pls and give me the whole page pic in which you have solved pls whole page​

Answer 1

$\frac{ \sqrt{5} - \sqrt{2} }{3}$

Step-by-step explanation:

$\frac{1}{ \sqrt{5} + \sqrt{2} } \\ \\ = \frac{1( \sqrt{5} - \sqrt{2} )}{( \sqrt{5} + \sqrt{2}) \: ( \sqrt{5} - \sqrt{2} ) } \\ \\ = \frac{ \sqrt{5} - \sqrt{2} }{( { \sqrt{5}) }^{2} \: - ( { \sqrt{2} }^{2}) } \\ \\ = \frac{ \sqrt{5} - \sqrt{2} }{5 - 2} \\ \\ = \frac{ \sqrt{5} - \sqrt{2} }{3}$

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Answer 2

$\bf \huge \underbrace \red{Answer} \\ \\ \sf \implies \: \frac{1}{ \sqrt{5} + \sqrt{2} } \\ \\ \blue{rationalising \: the \: \: denomintor} \\ \\ \sf \implies \: \frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \\ \\ \sf \implies \: \frac{ \sqrt{5} - \sqrt{2} }{ {( \sqrt{5} })^{2} - (\sqrt{2} ) ^{2} } \\ \\ \sf \implies \: \frac{ \sqrt{5} - \sqrt{2} }{5 - 2} \\ \\ \sf \implies \: \frac{ \sqrt{5} - \sqrt{2} }{3}$

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