Rationalise the deno minator of 3/√7+√4

1.	Rationalise the deno minator of 3/√7+√4
Answer» ANSWER: $= \frac{3}{ \sqrt{7} + \sqrt{4} } \times \frac{ \sqrt{7} - \sqrt{4} }{ \sqrt{7} - \sqrt{4} } \\ \\ = \frac{3( \sqrt{7} - \sqrt{4} )}{ {( \sqrt{7}) }^{2} - {( \sqrt{4} )}^{2} } \\ \\ = \frac{3 (\sqrt{7} -\sqrt{4} ) }{7 - 4} \\ \\ = \frac{3 (\sqrt{7} -\sqrt{4} ) }{3} \\ \\ = \sqrt{7 } - \sqrt{4} \\\\=\sqrt{7}-2$

Answer»

$= \frac{3}{ \sqrt{7} + \sqrt{4} } \times \frac{ \sqrt{7} - \sqrt{4} }{ \sqrt{7} - \sqrt{4} } \\ \\ = \frac{3( \sqrt{7} - \sqrt{4} )}{ {( \sqrt{7}) }^{2} - {( \sqrt{4} )}^{2} } \\ \\ = \frac{3 (\sqrt{7} -\sqrt{4} ) }{7 - 4} \\ \\ = \frac{3 (\sqrt{7} -\sqrt{4} ) }{3} \\ \\ = \sqrt{7 } - \sqrt{4} \\\\=\sqrt{7}-2$

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Rationalise the deno minator of 3/√7+√4

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