Question

rationalise the denominator- 1 /5√3 - 5√2 with process​

Answer 1

Step-by-step explanation:

$\frac{1}{5 \sqrt{3} - 5 \sqrt{2} } \\ = \frac{5 \sqrt{3} + 5 \sqrt{2} }{( {5 \sqrt{3} - 5 \sqrt{2} })({5 \sqrt{3} + 5 \sqrt{2} }) } \\ = \frac{{5 \sqrt{3} + 5 \sqrt{2} }}{( {5 \sqrt{3} )^{2} - (5 \sqrt{2}) ^{2} } } \\ = \frac{{5 \sqrt{3} + 5 \sqrt{2} }}{75 - 50} \\ = \frac{{5 \sqrt{3} + 5 \sqrt{2} }}{25} \\ = \frac{{5( \sqrt{3} + \sqrt{2}) }}{25} \\ = \frac{ \sqrt{3 } + \sqrt{2} }{5}$