Question

rationalise denominator 1/root 3-2​

Answer 1

Step-by-step explanation:

$\large \bold \red{Question →}$

Rationalise The Denominator :-

$➡\large \bold{ \frac{1}{ \sqrt{3} - \sqrt{2} } }$

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$\large \bold \red{ Answer→}$

$➡ \small\bold \pink{ \frac{1}{ \sqrt{3} - \sqrt{2} } } = { \frac{1}{ \sqrt{3} - \sqrt{2} } } \times \frac{ \sqrt{3 } + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ \\ \small \bold{➡ \frac{ \sqrt{3} + \sqrt{2} }{( \sqrt{3 {}^{} }) {}^{2} - ( \sqrt{2} {}^{}) {}^{2} } } \\ \\ \small \bold{➡ \frac{ \sqrt{ 3} + \sqrt{2} }{ 3 - 2 } } \\ \\➡ \small \bold{ \frac{ \sqrt{3} + \sqrt{2} } {1} } \\ \\ \small \bold \red{➡ \sqrt{3} + \sqrt{2} }$

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$\ \green{ \fcolorbox{gray}{black} {\textbf{ Hence, Verified ✔ }}}$

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$\large\colorbox{pink}{Hope lt'z Help You ❥ }$