If $$\sqrt{2916} = 54$$ then what is the value of the following?

$$\sqrt{29.16} + \sqrt{0.2916} + \sqrt{0.002916} + \sqrt{0.00002916}$$​​

Correct option is B

​Given:

$$\sqrt{2916} = 54$$​

Solution:

the expression:

​$$\sqrt{29.16} + \sqrt{0.2916} + \sqrt{0.002916} + \sqrt{0.00002916}$$ 

Each term can be written as: 

​$$\sqrt{29.16} = \sqrt{\frac{2916}{100}} = \frac{\sqrt{2916}}{10} = \frac{54}{10} = 5.4$$​​

​$$\sqrt{0.2916} = \sqrt{\frac{2916}{10000}} = \frac{\sqrt{2916}}{100} = \frac{54}{100} = 0.54$$​​

​$$\sqrt{0.002916} = \sqrt{\frac{2916}{1000000}} = \frac{\sqrt{2916}}{1000} = \frac{54}{1000} = 0.054$$​​

​$$\sqrt{0.00002916} = \sqrt{\frac{2916}{100000000}} = \frac{\sqrt{2916}}{10000} = \frac{54}{10000} = 0.0054$$​​

Now, Adding the term:

​$$5.4+0.54+0.054+0.0054=5.9994$$​​