Question

simplify : 2 root 50 × 3 root 32 × 4 root 18

Answer 1

Answer:

2800√2

Step-by-step explanation:

Answer 2

Answer:

$2\sqrt{50} + 3\times \sqrt{32} + 4\times \sqrt{18}=34\sqrt{2}$

Step-by-step explanation:

Given : 2 root 50 × 3 root 32 × 4 root 18

To find : Simplify the expression ?

Solution :

First we write the expression in numbers,

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

Now, we solve the expression

$=2\sqrt{25\times 2}+3\sqrt{16\times 2}+4\sqrt{9\times 2}$

$=2\times \sqrt{25}\times \sqrt{2}+3\times \sqrt{16}\times \sqrt{2}+2\times \sqrt{9}\times \sqrt{2}$

Applying, $\sqrt{(a\times b)}=\sqrt a\times \sqrt b$

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

$=10\sqrt{2}+12\sqrt{2}+12\sqrt{2}$

$=34\sqrt{2}$

Therefore, $2\sqrt{50} + 3\times \sqrt{32} + 4\times \sqrt{18}=34\sqrt{2}$