Question

le=" \sqrt{125 } - \sqrt{180} + \sqrt{45} " alt=" \sqrt{125 } - \sqrt{180} + \sqrt{45} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

2$\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying the radicals

$\sqrt{125}$ = $\sqrt{25(5)}$ = $\sqrt{25}$ × $\sqrt{5}$ = 5$\sqrt{5}$

$\sqrt{180}$ = $\sqrt{36(5)}$ = $\sqrt{36}$ × $\sqrt{5}$ = 6$\sqrt{5}$

$\sqrt{45}$ = $\sqrt{9(5)}$ = $\sqrt{9}$ × $\sqrt{5}$ = 3$\sqrt{5}$

Thus

$\sqrt{125}$ - $\sqrt{180}$ +$\sqrt{45}$

= 5$\sqrt{5}$ - 6$\sqrt{5}$ + 3$\sqrt{5}$

= 2$\sqrt{5}$