Simplify Square Root of 1016

Here we will show you step-by-step how to simplify the square root of 1016. The square root of 1016 can be written as follows:


	√	1016

The √ symbol is called the radical sign. To simplify the square root of 1016 means to get the simplest radical form of √1016.

Step 1: List Factors
List the factors of 1016 like so:

1, 2, 4, 8, 127, 254, 508, 1016

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

1, 4

Step 3: Divide
Divide 1016 by the largest perfect square you found in the previous step:

1016 / 4 = 254

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 1016 in its simplest form:


2	√	254

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Decimal Form
Square Root of 1016 in Decimal form rounded to nearest 5 decimals:

31.87475

Exponent Form
Square Root of 1016 written with Exponent instead of Radical:

1016^½ = 2 x 254^½

Simplify Square Root of 1017
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* List of Perfect Squares