Simplify Square Root of 6972

Here we will show you step-by-step how to simplify the square root of 6972. The square root of 6972 can be written as follows:


	√	6972

The √ symbol is called the radical sign. To simplify the square root of 6972 means to get the simplest radical form of √6972.

Step 1: List Factors
List the factors of 6972 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972

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

1, 4

Step 3: Divide
Divide 6972 by the largest perfect square you found in the previous step:

6972 / 4 = 1743

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 6972 in its simplest form:


2	√	1743

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Decimal Form
Square Root of 6972 in Decimal form rounded to nearest 5 decimals:

83.4985

Exponent Form
Square Root of 6972 written with Exponent instead of Radical:

6972^½ = 2 x 1743^½

Simplify Square Root of 6973
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* List of Perfect Squares