Simplify Square Root of 1256

Here we will show you step-by-step how to simplify the square root of 1256. The square root of 1256 can be written as follows:


	√	1256

The √ symbol is called the radical sign. To simplify the square root of 1256 means to get the simplest radical form of √1256.

Step 1: List Factors
List the factors of 1256 like so:

1, 2, 4, 8, 157, 314, 628, 1256

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

1, 4

Step 3: Divide
Divide 1256 by the largest perfect square you found in the previous step:

1256 / 4 = 314

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 1256 in its simplest form:


2	√	314

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Decimal Form
Square Root of 1256 in Decimal form rounded to nearest 5 decimals:

35.44009

Exponent Form
Square Root of 1256 written with Exponent instead of Radical:

1256^½ = 2 x 314^½

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* List of Perfect Squares