Math, asked by udaysinghrawat2000, 1 month ago

√5/2+√3 rationalise plz solve in notebook​

Answers

Answered by sumanhalder08
1

see the attached document

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Answered by akeertana503
1

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 \frac{ \sqrt{5} }{2 +  \sqrt{3} }  \\  \\  =  \frac{ \sqrt{5} }{2 +  \sqrt{3} } \times  \frac{2 -  \sqrt{3} }{2 -  \sqrt{3} }  \\  \\  =  \frac{ \sqrt{5} (2 -  \sqrt{3}) }{2 {}^{2}  - ( \sqrt{3)}  {}^{2} }   \\  \\  =  \frac{2 \sqrt{5} -  \sqrt{15}  }{4 - 3}  \\  \\  = 2 \sqrt{5}  -  \sqrt{15}

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