Question

Simplify : $\frac{(2\sqrt{45}+3\sqrt{20})}{2\sqrt{5}}$

Answer 1

Given , $\frac{(2\sqrt{45}+3\sqrt{20})}{2\sqrt{5}}$

= $\frac{(2\sqrt{9\times 5}+3\sqrt{4\times 5})}{2\sqrt{5}}$

= $\frac{(6\sqrt{5}+6\sqrt{5})}{2\sqrt{5}}$

= $\frac{(6\sqrt{5}+6\sqrt{5})}{2\sqrt{5}}$
=$\frac{12\sqrt{5}}{2\sqrt{5}}$
= $\frac{12}{2}$
= 6