Question

Simplify:- √18-√33+√14​

Answer 1

$= > \sqrt{18} - \sqrt{33} + \sqrt{14} \\ \\ = 3 \sqrt{2} - \sqrt{11} (\sqrt{3} ) + \sqrt{7} ( \sqrt{2} ) \\ \\ = \sqrt{2} \big(3 + \sqrt{7} \big) - \sqrt{33} \\ = 1.414(3 + 2.645) - 5.744 \\ = 1.414(5.645) - 5.744 \\ = 7.982 - 5.744 \\ = \rm 2.238 \: \: \: or \: \: \: \: \sqrt{5} \: \: (approx)$