Simplify Square Root of 7272

Here we will show you step-by-step how to simplify the square root of 7272. The square root of 7272 can be written as follows:


	√	7272

The √ symbol is called the radical sign. To simplify the square root of 7272 means to get the simplest radical form of √7272.

Step 1: List Factors
List the factors of 7272 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272

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

1, 4, 9, 36

Step 3: Divide
Divide 7272 by the largest perfect square you found in the previous step:

7272 / 36 = 202

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7272 in its simplest form:


6	√	202

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Decimal Form
Square Root of 7272 in Decimal form rounded to nearest 5 decimals:

85.27602

Exponent Form
Square Root of 7272 written with Exponent instead of Radical:

7272^½ = 6 x 202^½

Simplify Square Root of 7273
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* List of Perfect Squares