Question

find the values of a and b in each of the following:
√7-2/√7+2=a√7+b

Answer 1

Hey mate !!

Here's your answer !!

Refer to the attachment !!

Hope it helps !!

Cheers !!

Answer 2

Hello Mate!

$\frac{ \sqrt{7} - 2 }{ \sqrt{7} + 2 } = a \sqrt{7} + b \\ rationalize \\ \frac{ \sqrt{7} - 2}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} = a \sqrt{7} + b \\ \frac{ {( \sqrt{7} - 2)}^{2} }{7 - 4} = a \sqrt{7} + b \\( 7 + 4 - 4 \sqrt{7} ) \div 3 = a \sqrt{7} + b \\ \frac{11 - 4 \sqrt{7} }{3} = a \sqrt{7} + b \\ \frac{ - 4}{3} \sqrt{7} + \frac{11}{3} = a \sqrt{7} + b \\ a = \frac{ - 4}{3} \: and \: b = \frac{11}{3}$

Hope it helps☺!