Answer: 14 √ 3
Explanation:
Step 1: List Factors
List the factors of 588 like so:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 49, 196
Step 3: Divide
Divide 588 by the largest perfect square you found in the previous step:
588 / 196 = 3
Step 4: Calculate
Calculate the square root of the largest perfect square:
√196 = 14
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 588 in its simplest form:
14 √ 3