Simplify Square Root of 64 to Radicals

The problem asks to express in simplest radical form.

Step 1: Understand what “simplest radical form” means.
For a square root, simplest radical form means that the radicand (the number inside the square root) has no perfect square factors other than 1. If the radicand is itself a perfect square, then the square root can be simplified to an integer.

Step 2: Evaluate the square root of 64.
We need to find a number that, when multiplied by itself, equals 64.
We can test perfect squares:

Since , the square root of 64 is 8.
So, .

Step 3: Check if the result is in simplest radical form.
The result is 8, which is an integer. Integers do not have a radical sign, so they are considered to be in simplest radical form. Alternatively, we can think of 8 as , where the radicand 1 has no perfect square factors other than 1.

The final answer is .