Question

Упростите выражение:4√2-3√8+2√32

Answer 1

$4 \sqrt{2} -3 \sqrt{8} +2 \sqrt{32} = \\ \\ =4 \sqrt{2} -3 \sqrt{4*2} +2 \sqrt{16*2} = \\ \\ =4 \sqrt{2} -3*2 \sqrt{2} +2*4 \sqrt{2} = \\ \\ =(4-6+8) \sqrt{2} =6 \sqrt{2}$