Question

Simplify the following 3√50-5√32+4√8

Answer 1

= Answer:

34\sqrt{2}342

Step-by-step explanation:

Here, the given expression is,

2\sqrt{50} + 3\times \sqrt{32} + 4\times \sqrt{18}250+3×32+4×18

=2\sqrt{25\times 2}+3\sqrt{16\times 2}+4\sqrt{9\times 2}=225×2+316×2+49×2

=2\times \sqrt{25}\times \sqrt{2}+3\times \sqrt{16}\times \sqrt{2}+2\times \sqrt{9}\times \sqrt{2}=2×25×2+3×16×2+2×9×2

( Because, √(a×b)=√a × √b )

=2\times 5\times \sqrt{2}+3\times 4\times \sqrt{2}+4\times 3\times \sqrt{2}=2×5×2+3×4×2+4×3×2

=10\sqrt{2}+12\sqrt{2}+12\sqrt{2}=102+122+122

=34\sqrt{2}=342