Question

Simplify the following 2√50x3√32x4√18

Answer 1

$2\sqrt{50}\cdot \:3\sqrt{32}\cdot \:4\sqrt{18}$
$=2\sqrt{2\cdot \:25}\cdot \:3\sqrt{32}\cdot \:4\sqrt{18}$
$=2\sqrt{2}\sqrt{25}\cdot \:3\sqrt{32}\cdot \:4\sqrt{18}$
$=2\sqrt{2}\sqrt{25}\cdot \:3\sqrt{2^5}\cdot \:4\sqrt{18}$
$=2\sqrt{2}\sqrt{25}\cdot \:3\cdot \:2^{5\cdot \frac{1}{2}}\cdot \:4\sqrt{18}$
$=2\sqrt{2}\sqrt{25}\cdot \:3\cdot \:2^{\frac{5}{2}}\cdot \:4\sqrt{18}$
$=2\sqrt{2}\sqrt{25}\cdot \:3\cdot \:2^{\frac{5}{2}}\cdot \:2^2\sqrt{18}$
$=2\sqrt{2}\sqrt{25}\cdot \:3\cdot \:2^{\frac{5}{2}}\cdot \:2^2\sqrt{2\cdot \:9}$
$=2\sqrt{2}\sqrt{25}\cdot \:3\cdot \:2^{\frac{5}{2}}\cdot \:2^2\sqrt{2}\sqrt{9}$
$=3\cdot \:2^{\frac{13}{2}}\sqrt{9}\sqrt{25}$
$=3\cdot \:5\cdot \:2^{\frac{13}{2}}\sqrt{9}$
$=2^6\cdot \:3\cdot \:5\sqrt{2}\sqrt{9}$
$=2^6\cdot \:3\cdot \:3\cdot \:5\sqrt{2}$
$=2^6\cdot \:3^2\cdot \:5\sqrt{2}$
$=2880\sqrt{2}$

Hope this may help you. 

Answer 2

Hi

the answer of this question is

2880(2)^1/2

hope it help