Question

pls solve this pls :-


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rationalise the denominator of the following. 1/√3+√2​



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Answer 1

Question :-

rationalise the denominator of the following. 1/√3+√2

Solution :-

by using identitie :-

(a + b) (a - b) = a² - b²

now, by putting values we get

$\rm :\longmapsto\: \: \frac{1}{ \sqrt{3 + 2} } \times \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} - \sqrt{2} } \\ \\ \rm :\longmapsto\: \: \frac{ \sqrt{3} - \sqrt{2} }{ (\sqrt{3})^{2} - ( \sqrt{2} ) ^{2} } \\ \\ \rm :\longmapsto\: \: \frac{ \sqrt{3} - \sqrt{2} }{3 - 2} \\ \\ \rm :\longmapsto\: \: \sqrt{3 - 2}$

now by substituting values we get,

1.732 - 1.414 = 0.318

so therefore our required answer is 0.318

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