Question

rationalise the denominator: 7/(5 root 3 - (5 root 2?​

Answer 1

$\mathfrak{\huge{Answer:-}} \\ \bold{\frac{7}{5 \sqrt{3} - 5 \sqrt{2} } } \\ = \frac{7}{5 \sqrt{3} - 5 \sqrt{2} } \times \frac{5 \sqrt{3} + 5 \sqrt{2} }{5 \sqrt{3} + 5 \sqrt{2} } \\ = \frac{7(5 \sqrt{3} + 5 \sqrt{2}) }{(5 \sqrt{3} - 5 \sqrt{2} )(5 \sqrt{3} + 5 \sqrt{2} )} \\ = \frac{7(5 \sqrt{3} + 5 \sqrt{2} )}{ {(5 \sqrt{3}) }^{2} - {(5 \sqrt{2}) }^{2} } \\ = \frac{7(5 \sqrt{3} + 5 \sqrt{2} ) }{75 - 50} \\ = \frac{7(5 \sqrt{3} + 5 \sqrt{2} ) }{15} \\\boxed {\boxed{\large{\bold{ \frac{7}{5 \sqrt{3} - 5 \sqrt{2} } = \frac{7(5 \sqrt{3} + 5 \sqrt{2}) }{15} }}}}$