Math, asked by kunalvashistha, 10 months ago

rationalize the denominater of 2/√5+√3

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Answered by abdul9838

$<b> <body \: bgcolor = "skyblue">$

$\bf \red{hey \: user \: here \: is \: ans} \\ \\ \bf \blue{ \huge \: solution} \\ \\ \bf \red{given \: that} \\ \\ \bf \red{ \frac{2}{ \sqrt{5} + \sqrt{3} } } \\ \\ \bf \pink{rationalising \: the \: denominator \: } \\ \\ \bf \red{ \frac{2( \sqrt{5} - \sqrt{3}) }{( \sqrt{5} + \sqrt{3}) ( \sqrt{5} - \sqrt{3} )} } \\ \\ \bf \purple{using \: to \: this \: identity} \\ \\ \bf \orange{ {a}^{2} - {b}^{2} = (a + b)(a - b) } \\ \\ \bf \red{ \frac{2( \sqrt{5} - \sqrt{3} )}{{ (\sqrt{5}) }^{2} - ( { \sqrt{3}) }^{2} } } \\ \\ \bf \red{ \frac{2( \sqrt{5} + \sqrt{3} )}{5 - 3} } \\ \\ \bf \red{ \frac{2( \sqrt{5} + \sqrt{3} )}{2} } \\ \\ \bf \red{ \frac{ \cancel{2}( \sqrt{5} + \sqrt{3} )}{ \cancel{2}} } \\ \\ \bf \red{ \sqrt{5} + \sqrt{3} \: \: answer}$

Answered by Anhad28

Hope it would help you

By have a nice day

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rationalize the denominater of 2/√5+√3