Simplify Square Root of 4524

Here we will show you step-by-step how to simplify the square root of 4524. The square root of 4524 can be written as follows:


	√	4524

The √ symbol is called the radical sign. To simplify the square root of 4524 means to get the simplest radical form of √4524.

Step 1: List Factors
List the factors of 4524 like so:

1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524

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

1, 4

Step 3: Divide
Divide 4524 by the largest perfect square you found in the previous step:

4524 / 4 = 1131

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 4524 in its simplest form:


2	√	1131

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Decimal Form
Square Root of 4524 in Decimal form rounded to nearest 5 decimals:

67.26069

Exponent Form
Square Root of 4524 written with Exponent instead of Radical:

4524^½ = 2 x 1131^½

Simplify Square Root of 4525
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* List of Perfect Squares