Problem 1 - College Algebra

Question

Evaluate each expression or indicate that the root is not a real number. $$\sqrt{36}$$

Step-by-Step Solution

Answer

The square root of 36 is 6.

Step 1: Analyze the Number

Determine if the number under the root is a positive number or zero. In this case, 36 is a positive number.

Step 2: Calculate the Square Root

As the number 36 is positive, therefore it has a square root in the set of real numbers. Find a number which, when multiplied by itself, equals to 36. This is the definition of a square root. In this case, the number 6, when multiplied by itself (\(6*6\) or \(6^2\)), equals to 36. Therefore, \(\sqrt{36}\) equals 6.