Rationalise the denominator of 3 upon √2-√5

1.	Rationalise the denominator of 3 upon √2-√5
Answer» $\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}$ $\red{\bold{\underline{\underline{QUESTION:-}}}}$ RATIONALISE the DENOMINATOR of 3 upon √2-√5 $\huge\bigstar\huge\tt\underline\red{ᴀɴsᴡᴇʀ }\bigstar$ $➪ \frac{3}{ \sqrt{2} - \sqrt{5} }$ $➪ \frac{3}{ \sqrt{2} - \sqrt{5} } \times \frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} + \sqrt{5} }$ $➪ \frac{3( \sqrt{2} + \sqrt{5} ) }{ ({ \sqrt{2}) }^{2} - {( \sqrt{5}) }^{2} } = \frac{3( \sqrt{2} + \sqrt{5} )}{2 - 5}$ $➪ \frac{༽3( \sqrt{2} + \sqrt{5} ) }{ - ༽3} = - ( \sqrt{2 } - \sqrt{5} )$ ---->>>>>>Here is your answer<<<<-------- HOPE IT HELPS YOU.. _____________________ THANKYOU:)

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