Simplify Square Root of 1012

Here we will show you step-by-step how to simplify the square root of 1012. The square root of 1012 can be written as follows:


	√	1012

The √ symbol is called the radical sign. To simplify the square root of 1012 means to get the simplest radical form of √1012.

Step 1: List Factors
List the factors of 1012 like so:

1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012

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

1, 4

Step 3: Divide
Divide 1012 by the largest perfect square you found in the previous step:

1012 / 4 = 253

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 1012 in its simplest form:


2	√	253

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Decimal Form
Square Root of 1012 in Decimal form rounded to nearest 5 decimals:

31.81195

Exponent Form
Square Root of 1012 written with Exponent instead of Radical:

1012^½ = 2 x 253^½

Simplify Square Root of 1013
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* List of Perfect Squares