Question

rationalise the denominator​

Answer 1

Multiply it by (5√6+2√12)/(5√6+2√12)

Answer 2

$\tt\frac{4 \sqrt{12} - 7 \sqrt{6} }{5 \sqrt{6} - 2 \sqrt{12} } \\ \\ \tt\frac{4 \sqrt{12} - 7 \sqrt{6} }{5 \sqrt{6} - 2 \sqrt{12} } \times \tt\frac{5\sqrt{6} + 2 \sqrt{12} }{5 \sqrt{6} + 2 \sqrt{12} } \\ \\ \tt\frac{(4 \sqrt{12} - 7 \sqrt{6})( 5\sqrt{6} + 2 \sqrt{12} )}{(5 \sqrt{6})² - (2 \sqrt{12})² } \\ \\ \frac{36 \sqrt{2}-114 }{102} \\ \\ \frac{6 \sqrt{2}-19 }{17}$

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