Simplify Square Root of 4264

Here we will show you step-by-step how to simplify the square root of 4264. The square root of 4264 can be written as follows:


	√	4264

The √ symbol is called the radical sign. To simplify the square root of 4264 means to get the simplest radical form of √4264.

Step 1: List Factors
List the factors of 4264 like so:

1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132, 4264

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

1, 4

Step 3: Divide
Divide 4264 by the largest perfect square you found in the previous step:

4264 / 4 = 1066

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 4264 in its simplest form:


2	√	1066

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Decimal Form
Square Root of 4264 in Decimal form rounded to nearest 5 decimals:

65.29931

Exponent Form
Square Root of 4264 written with Exponent instead of Radical:

4264^½ = 2 x 1066^½

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* List of Perfect Squares