Simplify Square Root of 162

Here we will show you step-by-step how to simplify the square root of 162. The square root of 162 can be written as follows:


	√	162

The √ symbol is called the radical sign. To simplify the square root of 162 means to get the simplest radical form of √162.

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

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Decimal Form
Square Root of 162 in Decimal form rounded to nearest 5 decimals:

12.72792

Exponent Form
Square Root of 162 written with Exponent instead of Radical:

162^½ = 9 x 2^½

Simplify Square Root of 163
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* List of Perfect Squares