Question

Simplify 12 root 18+ 6 root 20-6 root 147+3 root 50 +8 root 45

Answer 1

go through the solution

Answer 2

Answer:

$51\sqrt{2} + 36 \sqrt{5}-42\sqrt{3}$

Step-by-step explanation:

Given $:12 \sqrt{18} +6\sqrt{20}-6\sqrt{147}+3\sqrt{50}+8\sqrt{45}$

To Find : Simplify

Solution:

$12 \sqrt{18} + 6\sqrt{20}-6\sqrt{147}+3\sqrt{50}+8\sqrt{45}$

$12 \sqrt{2 \times 3 \times 3} +6\sqrt{2 \times 2 \times 5}-6\sqrt{7 \times 7 \times 3}+3\sqrt{5 \times 5 \times 2}+8\sqrt{3 \times 3 \times 5}$

$(12 \times 3) \sqrt{2} + (6 \times 2) \sqrt{5}-(6\times 7)\sqrt{3}+(3 \times 5)\sqrt{2}+(8 \times 3)\sqrt{5}$

$36\sqrt{2} + 12 \sqrt{5}-42\sqrt{3}+15\sqrt{2}+24\sqrt{5}$

$51\sqrt{2} + 36 \sqrt{5}-42\sqrt{3}$

Hence $:12 \sqrt{18} +6\sqrt{20}-6\sqrt{147}+3\sqrt{50}+8\sqrt{45}$ = $51\sqrt{2} + 36 \sqrt{5}-42\sqrt{3}$