If $$\sqrt{54}+\sqrt{150}=19.60$$​, then what will the value of $$\sqrt{216}+\sqrt{96}$$​ be? Give your answer, correct to one decimal place.

Correct option is B

Given:

​$$\sqrt{54} + \sqrt{150} = 19.60$$​

Solution:

​$$\sqrt{54} + \sqrt{150} = 19.60$$

$$3\sqrt 6+ 5\sqrt 6= 19.60$$

$$8\sqrt 6 =19.60$$

$$\sqrt 6=\frac{19.60}8=2.45$$​​​​​

​$$\sqrt{216} + \sqrt{96} = 6\sqrt 6+ 4\sqrt 6 =10\sqrt 6$$ = 10$$\times 2.45 =24.5$$​​

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