Answer:
9√2
Step-by-step explanation:
Step 1: List Factors
List the factors of 162 like so:
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 9, 81
Step 3: Divide
Divide 162 by the largest perfect square you found in the previous step:
162 / 81 = 2
Step 4: Calculate
Calculate the square root of the largest perfect square:
√81 = 9
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 162 in its simplest form:9 √2
