Question

simplify:12 under root 18-6 under root 20-3 under root 50+8 under root 45

Answer 1

$12\sqrt{18}-6\sqrt{20}-3\sqrt{45}=12\sqrt{9\cdot2}-6\sqrt{4\cdot5}-3\sqrt{9\cdot5}\\\\=12\cdot3\sqrt2-6\cdot2\sqrt5-3\cdot3\sqrt5=36\sqrt2-12\sqrt5-9\sqrt5\\\\=36\sqrt2-21\sqrt5$

Answer 2

Answer:

$12 \sqrt{18} - 6\sqrt{20}-3\sqrt{50}+8\sqrt{45}=21\sqrt{2} + 12\sqrt{5}$

Step-by-step explanation:

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

To Find : Simplify

Solution:

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

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

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

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

$21\sqrt{2} + 12\sqrt{5}$

So, $12 \sqrt{18} - 6\sqrt{20}-3\sqrt{50}+8\sqrt{45}=21\sqrt{2} + 12\sqrt{5}$