If $$\sqrt{45} + \sqrt{125} = 17.89$$, then what will be the value of $$\sqrt{180} + \sqrt{80}?$$

(Give your answer to one decimal place.)

Correct option is C

​Given:

​$$\sqrt{45}+\sqrt{125} = 17.89$$ 

To find;  $$\sqrt{180}+\sqrt{80}$$ 

Solution:

$$\sqrt{45}+\sqrt{125} = 17.89$$ 

$$\sqrt{9×5} + \sqrt{25×5} = 17.89$$ 

$$3\sqrt5+5\sqrt5=17.89$$ 

​$$8\sqrt5$$ = 17.89

$$\sqrt5 = \frac{17.89}{8}$$

Now,

​$$\sqrt{180}+\sqrt{80}$$ =  $$6\sqrt5 + 4\sqrt5$$

$$10\sqrt5$$ = 10 × $$\frac{17.89}{8}$$

= $$\frac{178.9}{8}$$ = 22.4 (approx.)​