Question

simplify: 12√18+6√20-6√147+2√200+8√45

Answer 1

46root 2 +36root 5-42root 3

Answer 2

Given:

$12\sqrt{18}+6\sqrt{20}-6\sqrt{147}+2\sqrt{200}+8\sqrt{45}$

$\implies 12\sqrt{9*2}+6\sqrt{4*5}-6\sqrt{49*3}+2\sqrt{100*2}+8\sqrt{9*5}$

$\implies 36\sqrt{2}+12\sqrt{5}-42\sqrt{3}+20\sqrt{2}+24\sqrt{5}$

$\implies \sqrt{2}(36+20)+\sqrt{5}(12+24)-42\sqrt{3}$

$\implies 56\sqrt{2}+36\sqrt{5}-42\sqrt{3}$

That's the answer.

Hope it helps you.