Answer:
answer is 7√3
Step-by-step explanation:
Step 1: List Factors
List the factors of 147 like so:
1, 3, 7, 21, 49, 147
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 49
Step 3: Divide
Divide 147 by the largest perfect square you found in the previous step:
147 / 49 = 3
Step 4: Calculate
Calculate the square root of the largest perfect square:
√49 = 7
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 147 in it's simplest form 7√3