Question

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Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\frac{1}{(1+\sqrt{2})-(\sqrt{3}) }$

Rationalising the Denominator:-

$\frac{1+\sqrt{2}+\sqrt{3} }{[1+\sqrt{2}-\sqrt{3}][\sqrt{2}+\sqrt{3}]}$

$\frac{1+\sqrt{2}+\sqrt{3}}{(1+\sqrt{2})^2-(\sqrt{3})^2 }$

$\frac{1+\sqrt{2}+\sqrt{3}}{1+2+2\sqrt{2}-3 }$

$\frac{1+\sqrt{2}+\sqrt{3}}{3-3+2\sqrt{2} }$

$\frac{1+\sqrt{2}+\sqrt{3}}{2\sqrt{2} }$

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