Question

Simplify<br />$2 \sqrt{50} \times 3 \sqrt{32} \times 4 \sqrt{18}$<br />​

Answer 1

$2 \sqrt{50} \times 3 \sqrt{32} \times 4 \sqrt{18}$

$2 \times \sqrt{5 \times 5 \times 2} \times 3 \times \sqrt{2 \times 2 \times 2 } \times 4 \times \sqrt{2 \times 3 \times 3}$

$2 \times 5 \sqrt{2} \times 3 \times 2 \sqrt{2} \times 4 \times 3 \times \sqrt{2}$

$10 \times 6 \times 12 \times \sqrt{2 \times 2 \times 2}$

$720 \times 2 \sqrt{2}$

$1440 \sqrt{2}$

Answer 2

$2\sqrt{50} * 3\sqrt{32} * 4\sqrt{18} \\= 2\sqrt{5*5*2} * 3\sqrt{2*2*2*2*2} * 4\sqrt{2*3*3} \\= 10\sqrt{2} * 12\sqrt{2} * 12\sqrt{2} \\= 2880\sqrt{2}$

Hope it’s correct...

Hope it helps!