Simplify Square Root of 5264

Here we will show you step-by-step how to simplify the square root of 5264. The square root of 5264 can be written as follows:


	√	5264

The √ symbol is called the radical sign. To simplify the square root of 5264 means to get the simplest radical form of √5264.

Step 1: List Factors
List the factors of 5264 like so:

1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264

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

1, 4, 16

Step 3: Divide
Divide 5264 by the largest perfect square you found in the previous step:

5264 / 16 = 329

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5264 in its simplest form:


4	√	329

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Decimal Form
Square Root of 5264 in Decimal form rounded to nearest 5 decimals:

72.55343

Exponent Form
Square Root of 5264 written with Exponent instead of Radical:

5264^½ = 4 x 329^½

Simplify Square Root of 5265
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* List of Perfect Squares