Simplify Square Root of 2156

Here we will show you step-by-step how to simplify the square root of 2156. The square root of 2156 can be written as follows:


	√	2156

The √ symbol is called the radical sign. To simplify the square root of 2156 means to get the simplest radical form of √2156.

Step 1: List Factors
List the factors of 2156 like so:

1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156

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

1, 4, 49, 196

Step 3: Divide
Divide 2156 by the largest perfect square you found in the previous step:

2156 / 196 = 11

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2156 in its simplest form:


14	√	11

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Decimal Form
Square Root of 2156 in Decimal form rounded to nearest 5 decimals:

46.43275

Exponent Form
Square Root of 2156 written with Exponent instead of Radical:

2156^½ = 14 x 11^½

Simplify Square Root of 2157
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* List of Perfect Squares