Question

Simplify the expression. $$\frac{\sqrt{64}}{\sqrt{16}}$$

Short answer

The simplified result of the expression \( \frac{\sqrt{64}}{\sqrt{16}} \) is 2.

Step-by-step solution

Evaluate the Numerator

The numerator of the fraction is the square root of 64. Based on the definition of the square root, one needs to find a number that when squared gives 64. Hence, \( \sqrt{64} = 8 \).

Evaluate the Denominator

In the denominator we have the square root of 16. Again, one needs to find a number that when squared gives 16. So \( \sqrt{16} = 4 \).

Divide the Results

The final step is to divide the simplified numerator by the simplified denominator. Hence, \( \frac{8}{4} = 2 \).