Simplify Square Root of 1014

Here we will show you step-by-step how to simplify the square root of 1014. The square root of 1014 can be written as follows:


	√	1014

The √ symbol is called the radical sign. To simplify the square root of 1014 means to get the simplest radical form of √1014.

Step 1: List Factors
List the factors of 1014 like so:

1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014

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

1, 169

Step 3: Divide
Divide 1014 by the largest perfect square you found in the previous step:

1014 / 169 = 6

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

√169 = 13

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1014 in its simplest form:


13	√	6

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Decimal Form
Square Root of 1014 in Decimal form rounded to nearest 5 decimals:

31.84337

Exponent Form
Square Root of 1014 written with Exponent instead of Radical:

1014^½ = 13 x 6^½

Simplify Square Root of 1015
The answer to Simplify Square Root of 1014 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares