Question

rationalise the denominator
please give me correct answer of this question if you give correct answer I will mark you as brain list
it is very very urgent ​

Answer 1

Answer:

hope it helps..

First each should be rationised and then added.

Answer 2

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$\frac{1}{1+\sqrt{2} } +\frac{1}{\sqrt{2}+\sqrt{3} } \\\\=\frac{1(1-\sqrt{2} )}{(1+\sqrt{2})(1-\sqrt{2}) } +\frac{1(\sqrt{2}-\sqrt{3} )}{(\sqrt{2}+ \sqrt{3})(\sqrt{2}- \sqrt{3}) } \\\\=\frac{1-\sqrt{2} }{1-2}+\frac{\sqrt{2}- \sqrt{3} }{2-3} \;\;\;\;\;\;\;\;\;\;\;[(a+b)(a-b)=a^{2} -b^{2} ] \\\\=\frac{1-\sqrt{2} }{(-1)} +\frac{\sqrt{2}- \sqrt{3} }{(-1)} \\\\=-(1-\sqrt{2} )-(\sqrt{2}- \sqrt{3})\\\\=-1+\sqrt{2}-\sqrt{2} +\sqrt{3}\\\\=\sqrt{3}-1$

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