Simplify Square Root of 7268

Here we will show you step-by-step how to simplify the square root of 7268. The square root of 7268 can be written as follows:


	√	7268

The √ symbol is called the radical sign. To simplify the square root of 7268 means to get the simplest radical form of √7268.

Step 1: List Factors
List the factors of 7268 like so:

1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268

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

1, 4

Step 3: Divide
Divide 7268 by the largest perfect square you found in the previous step:

7268 / 4 = 1817

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 7268 in its simplest form:


2	√	1817

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Decimal Form
Square Root of 7268 in Decimal form rounded to nearest 5 decimals:

85.25257

Exponent Form
Square Root of 7268 written with Exponent instead of Radical:

7268^½ = 2 x 1817^½

Simplify Square Root of 7269
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* List of Perfect Squares