Question

Find the values of a and b
√13-√11÷√13+√11 = a - b √143

Answer 1

$\frac{ \sqrt{13} - \sqrt{11} }{ \sqrt{13} + \sqrt{11} }$
$\frac{( \sqrt{13} - \sqrt{11} ) \: ( \sqrt{13} - \sqrt{11})}{( \sqrt{13} + \sqrt{11}) \: ( \sqrt{13} - \sqrt{11} )}$
$(13 - \sqrt{143} - \sqrt{143} + 11) \div 13 - 11$
$24 - 2 \sqrt{143} \div 2$
$\frac{24}{2} - \frac{2 \sqrt{143} }{2}$
$12 - \sqrt{143}$
Therefore, a = 12 & b = 1