Question

simplify 2√50+3√32+4√18​

Answer 1

SOLUTION

$= > 2 \sqrt{50} + 3 \sqrt{32} + 4 \sqrt{18} \\ \\ = > 2 \sqrt{5 \times 5 \times 2} + 3 \sqrt{2 \times 2 \times 2 \times 2 \times 2} + 4 \sqrt{2 \times 3 \times 3} \\ \\ = > 2 \times 5 \sqrt{2} + 3 \times 4 \sqrt{2} + 4 \times 3 \sqrt{2} \\ \\ = > 10 \sqrt{2} + 12 \sqrt{2} + 12 \sqrt{2} \\ \\ = > 34 \sqrt{2}$

hope it helps ✔️

Answer 2

Hi ,

2√50 + 3 √32 + 4 √18

= 2√(5×5)×2 + 3√(2×2)(2×2)×2

+ 4√(3×3)×2

= 2×5√2 + 3 ×2×2 √2 + 4×3 √2

= 10 √2 + 12 √2 + 12 √2

= 34 √2

I hope this helps you.

:)