If $$\sqrt{2116}=46$$​ then find the value of

​$$\sqrt{21.16}+\sqrt{0.2116}+\sqrt{0.002116}+\sqrt{0.00002116}.$$​​

Correct option is A

Given:

$$\sqrt{2116} = 46$$​​

Then, $$\sqrt{21.16}+\sqrt{0.2116}+\sqrt{0.002116}+\sqrt{0.00002116}=?$$​​

Solution:​​

​$$\sqrt{21.16}+\sqrt{0.2116}+\sqrt{0.002116}+\sqrt{0.00002116}$$​​

=$$\frac{\sqrt{2116}}{10}+\frac{\sqrt{2116}}{100}+ \frac{\sqrt{2116}}{1000}+\frac{\sqrt{2116}}{10{,}000}$$

=$$\frac{46}{10}+\frac{46}{100}+ \frac{46}{1000}+\frac{46}{10{,}000}$$​​

= 4.6 + 0.46 + 0.046 + 0.0046 = 5.1106