Question

Evaluate the expression. Give the exact value if possible. Otherwise, approximate to the nearest hundredth. $$\sqrt{13}$$

Short answer

The value of \( \sqrt{13} \), rounded to the nearest hundredth, is approximately 3.61.

Step-by-step solution

Understanding the Square Root Function

The square root function, denoted as \( \sqrt{x} \), provides the value which when squared equals the input \(x\). Here the input is 13.

Compute the Square Root

Use the square root function on a calculator to compute \( \sqrt{13} \). The result is a non-terminating decimal.

Rounding to the Nearest Hundredth

Finally, round the computed value to the nearest hundredth. This is the standard convention when an exact value isn't possible.