Question

100
$\sqrt{21 \times 12 \times 14 \times 16}$
​

Answer 1

Step-by-step explanation:

100√56448.

.

.

.

.

.

.

.

hope it helps you

Answer 2

Given : $100 \sqrt{21 \times 12 \times 14 \times 16}$

AnswEr :

$\quad \: \bullet \: \: \tt{16800\sqrt{2}\approx 23758.787847868}$

EXPLANATION :

$\bigstar \: \: \tt100 \sqrt{ 21 \times 12 \times 14 \times 16 } \\\\\ :\longmapsto \tt \:\: 100\sqrt{56448} \\\\\ \bullet Factor \: 56448 \: = \: 168^{2}\times 2. \: Rewrite \: the \\ square \: root \: of \: the \: product \: \sqrt{168^{2}\times 2} \: as \: \\ the \: product \: of \: square \: roots \: \sqrt{168^{2}}\sqrt{2}. \\ Take \: the \: square \: root \: of \: 168^{2}. \\\\\ :\longmapsto \tt \:\: 100\times 168\sqrt{2} \\\\\ \: \underline{\boxed {: \implies \tt \: 16800\sqrt{2} }}$