Math, asked by aanyamehrotra24, 4 months ago

by rationalising the denominator √2/(√5+√3) is​

Answers

Answered by devanshu1234321
0

QUESTION:-

RATIONALIZE THE DENOMINATOR  \frac{\sqrt{2} }{\sqrt{5}+ \sqrt{3} }

EXPLANATION:-

WE MULTIPLY \frac{\sqrt{2} }{\sqrt{5}+ \sqrt{3} } BY IT'S CONJUGATE i.e.\sqrt{5} -\sqrt{3} in numerator and denominator

\frac{\sqrt{2} }{\sqrt{5}+ \sqrt{3} }*\frac{\sqrt{5} -\sqrt{3}}{\sqrt{5} -\sqrt{3}}

===> on simplifying we get \sqrt{5} -\sqrt{3}

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