Question

Ratinalise the deniminator and simplify
$3 \div \sqrt{5} + \sqrt{2}$



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Answer 1

Answer:

$= \frac{3 \sqrt{5} - 3 \sqrt{3} }{2}$

Step-by-step explanation:

Given:-

$= > \frac{3}{ \sqrt{5 + \sqrt{2} } } \\ = > \frac{3}{ \sqrt{5 } + \sqrt{3} } \times \frac{ \sqrt{5 } - \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \\ \\ we \: get \\ = > \frac{3( \sqrt{5} - \sqrt{3} )}{ { \sqrt{5} }^{2} - { \sqrt{3} }^{2} } \\ = > \: \frac{3 \sqrt{5 }- 3 \sqrt{3} } {5 - 3} \\ = > \frac{3 \sqrt{5} - 3 \sqrt{3} }{2}$

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