Question

find the value of a& b 2-√7/ 2+√7= a-b√7​

Answer 1

Answer:

Heya mate...

Here's your answer....

$\frac{2 - \sqrt{7} }{2 + \sqrt{7} } = a - b \sqrt{7 } \\ \frac{2 - \sqrt{7} }{2 + \sqrt{7} } \times \frac{2 - \sqrt{7} }{2 - \sqrt{7} } = \frac{ \: {2}^{2} + {( \sqrt{7}) }^{2} - 2 \times 2 \times \sqrt{7} }{ {2}^{2} - { (\sqrt{7}) }^{2} } \\ \frac{4 + 7 - \sqrt[4]{7} }{4 - 7} = \frac{11 - \sqrt[4]{7} }{ - 3} \\ \\ hence \: value \: of \: a = 11 \\ b = 4$

Hope it will help you

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