Problem 83 - College Algebra

Question

Evaluate each expression without using a calculator. $$36^{\frac{1}{2}}$$

Step-by-Step Solution

Answer

The value of \(36^{\frac{1}{2}}\) is 6.

Step 1: Understanding the problem

The given expression is \(36^{\frac{1}{2}}\), which implies that one needs to find the square root of 36.

Step 2: Finding the square root

Knowing that the square root of a number is the number that, when multiplied by itself, gives the original number, the square root of 36 is 6, because \(6 × 6 = 36\).

Step 3: Final Solution

So, the value of \(36^{\frac{1}{2}}\) is 6.