Question

if root + root 5 + root 6 whole square is equal to a + b root 30 find the Spectre values of a and b​

Answer 1

$({ \sqrt{5} + \sqrt{6} })^{2} = 5 + 6 + 2 \sqrt{5} \sqrt{6} \\ 11 + 2 \sqrt{30} \\ on \: comparing \: with \: a +b \sqrt{30} \: we \: get \: a = 11 and \: b = 2$

$({a + b})^{2} = {a}^{2} + {b}^{2} + 2ab$