Find the value of the expression:

$$\sqrt{8 + \sqrt{1681}}$$

Question

Find the value of the expression:

$$\sqrt{8 + \sqrt{1681}}$$

Accepted Answer

**Solution:**

1. Evaluate the inner square root:
   - Calculate $$\sqrt{1681}$$.
   - Since $$1681 = 41^2$$, we have $$\sqrt{1681} = 41$$.

2. Substitute this value back into the expression:
   - $$\sqrt{8 + \sqrt{1681}} = \sqrt{8 + 41} = \sqrt{49}$$.

3. Calculate the outer square root:
   - $$\sqrt{49} = 7$$.

**Answer:** The value of the expression is $$7$$.

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