Question

find the value of a and b.solve this for 20 marks

Answer 1

Hey mate!

Here's ur answer dear :-)
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$\frac{2 \sqrt{6} - \sqrt{5} }{3 \sqrt{5} - \sqrt{6} } = a + b \sqrt{30} \\ \\ \frac{2 \sqrt{6} - \sqrt{5} }{3 \sqrt{5} - \sqrt{6} } \times \frac{3 \sqrt{5} + \sqrt{6} }{3 \sqrt{5} + \sqrt{6} } \\ \\ \frac{2 \sqrt{6} (3 \sqrt{5} + \sqrt{6}) - \sqrt{5}( 3 \sqrt{5} + \sqrt{6})}{(3 \sqrt{5} ) {}^{2} - ( \sqrt{6} ) {}^{2} } \\ \\ \frac{6 \sqrt{30} + 12 - 15 - \sqrt{30} }{45 - 6} \\ \\ \frac{5 \sqrt{30} - 3}{39} \\ \\ a = - 3 \: \: \: \: \: b = \frac{5}{39} \sqrt{30}$


Hope it helps!

[ I don't know it's right or wrong]

☺☺☺

Answer 2

hey u are in class 11th?