Question

Simplify the following √32+2√50+5√18

Answer 1

please see the answer carefully

Answer 2

Here's the answer

Given :

$\sf{ \sqrt{32 } \: + 2 \sqrt{50} + 5 \sqrt{18}}$

Simplifying it,

$\sf{ \sqrt{16 \times2 } + 2 \sqrt{25 \times 2} + 5 \sqrt{9 \times 2}}$

$4 \sqrt{2} + 2 \times (5 \sqrt{2} ) + 5 \times (3\sqrt{2} )$

$\sf{4 \sqrt{2} + 10 \sqrt{2} + 15 \sqrt{2}}$

Here,
Taking √2 common ,

$\sf{ \sqrt{2} \times (4 + 10 + 15)}$

$\sf {\sqrt{2 } \times 29}$

$\sf{29 \sqrt{2}}$

Thanks!!