Answer:
To simplify the square root of 252 means to get the simplest radical form of √252.
Step-by-step explanation:
Step 1: List Factors
List the factors of 252 like so:
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 9, 36
Step 3: Divide
Divide 252 by the largest perfect square you found in the previous step:
252 / 36 = 7
Step 4: Calculate
Calculate the square root of the largest perfect square:
√36 = 6
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 252 in its simplest form:
6 √ 7
