Question

ARAT TIETE (Simplify): V125 - V45+ V5​

Answer 1

Answer:

3$\sqrt{5}$

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$\sqrt{5}$

$\sqrt{45}$

= $\sqrt{9(5)}$

= $\sqrt{9}$ × $\sqrt{5}$ = 3$\sqrt{5}$

Then

$\sqrt{125}$ - $\sqrt{45}$ + $\sqrt{5}$

= 5$\sqrt{5}$ - 3$\sqrt{5}$ + $\sqrt{5}$ ← collect like terms

= 3$\sqrt{5}$