Simplify Square Root of 4632

Here we will show you step-by-step how to simplify the square root of 4632. The square root of 4632 can be written as follows:


	√	4632

The √ symbol is called the radical sign. To simplify the square root of 4632 means to get the simplest radical form of √4632.

Step 1: List Factors
List the factors of 4632 like so:

1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632

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

1, 4

Step 3: Divide
Divide 4632 by the largest perfect square you found in the previous step:

4632 / 4 = 1158

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 4632 in its simplest form:


2	√	1158

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Decimal Form
Square Root of 4632 in Decimal form rounded to nearest 5 decimals:

68.0588

Exponent Form
Square Root of 4632 written with Exponent instead of Radical:

4632^½ = 2 x 1158^½

Simplify Square Root of 4633
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* List of Perfect Squares