Question

Could you help me with this.

Express in simplest radical form.
162

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Answer 1

9√2

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