Instructions

What value will come in the place of the question mark (?) in each of the following questions.

Question 125

$$\sqrt{?}+19=\sqrt{2209}$$

Solution

Let the number to replace the question mark be '$$X$$'

Hence, $$\sqrt{X}+19=\sqrt{2209}$$

Note that $$2209 = 47^2$$

So, $$\sqrt{X} + 19 = 47$$
Or, $$\sqrt{X} = 28$$
Hence, $$X=28^2 = 784$$

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