Question

what is the exact value for the expression Square root 56 - Square root 14 + Square root 126 ? simplify if possible

Answer 1

$\sqrt{56} - \sqrt{14} + \sqrt{126} = \sqrt{4\cdot14} - \sqrt{14} + \sqrt{9\cdot14} =\\=2 \sqrt{14} - \sqrt{14} +3 \sqrt{14} =2 \sqrt{14} - 1\sqrt{14} +3 \sqrt{14} =4 \sqrt{14}$