Simplify Square Root of 171

Here we will show you step-by-step how to simplify the square root of 171. The square root of 171 can be written as follows:


	√	171

The √ symbol is called the radical sign. To simplify the square root of 171 means to get the simplest radical form of √171.

Step 1: List Factors
List the factors of 171 like so:

1, 3, 9, 19, 57, 171

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 9

Step 3: Divide
Divide 171 by the largest perfect square you found in the previous step:

171 / 9 = 19

Step 4: Calculate
Calculate the square root of the largest perfect square:

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 171 in its simplest form:


3	√	19

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Decimal Form
Square Root of 171 in Decimal form rounded to nearest 5 decimals:

13.0767

Exponent Form
Square Root of 171 written with Exponent instead of Radical:

171^½ = 3 x 19^½

Simplify Square Root of 172
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* List of Perfect Squares