Question

Show that : –
$\sqrt{45} - \sqrt{180} + \sqrt{125}= 2 \sqrt{5}$
.​

Answer 1

$\sqrt{45} - \sqrt{180} + \sqrt{125} = \sqrt{9 \times 5} - \sqrt{36 \times 5} + \sqrt{25 \times 5} \\ = 3 \sqrt{5} - 6 \sqrt{5} + 5 \sqrt{5} \\ = (3 - 6 + 5) \sqrt{5} \\ = 2 \sqrt{5} \\ thus \: \sqrt{45} - \sqrt{180} + \sqrt{125} = 2 \sqrt{5} (hence \: proved)$

PLEASE MARK AS BRAINLIEST !!!

☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️