Question

rationalise denominator 1/root 3 + root 2​

Answer 1

$\: \: \: \: \: \: \: \: \sf{ \frac{1}{ \sqrt{3} + \sqrt{2} } } \times \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} - \sqrt{2} }$

$= > \: \: \: \: \: \: \: \: \sf {\frac{ \sqrt{3} - \sqrt{2} }{( \sqrt{3}) {}^{2} - ( \sqrt{2} ) {}^{2} } }$

$= > \: \: \: \: \: \: \: \: \: \: \: \: \frac{ \sqrt{3} - \sqrt{2} }{3 - 2}$

$= > \: \: \: \: \: \: \: \: \: \: \: \: \: \sqrt{3} - \sqrt{2}$

Answer 2

Step-by-step explanation:

1. × √3 -√2. = √3 - √2.

√3 + √2. √3 - √2. √3² - √2²

= √3 -√2 = √3 -√2 --------Answer

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