Simplify Square Root of 156

Here we will show you step-by-step how to simplify the square root of 156. The square root of 156 can be written as follows:


	√	156

The √ symbol is called the radical sign. To simplify the square root of 156 means to get the simplest radical form of √156.

Step 1: List Factors
List the factors of 156 like so:

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

1, 4

Step 3: Divide
Divide 156 by the largest perfect square you found in the previous step:

156 / 4 = 39

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 156 in its simplest form:


2	√	39

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Decimal Form
Square Root of 156 in Decimal form rounded to nearest 5 decimals:

12.49

Exponent Form
Square Root of 156 written with Exponent instead of Radical:

156^½ = 2 x 39^½

Simplify Square Root of 157
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* List of Perfect Squares