Simplify Square Root of 4628

Here we will show you step-by-step how to simplify the square root of 4628. The square root of 4628 can be written as follows:


	√	4628

The √ symbol is called the radical sign. To simplify the square root of 4628 means to get the simplest radical form of √4628.

Step 1: List Factors
List the factors of 4628 like so:

1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628

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

1, 4

Step 3: Divide
Divide 4628 by the largest perfect square you found in the previous step:

4628 / 4 = 1157

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 4628 in its simplest form:


2	√	1157

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Decimal Form
Square Root of 4628 in Decimal form rounded to nearest 5 decimals:

68.02941

Exponent Form
Square Root of 4628 written with Exponent instead of Radical:

4628^½ = 2 x 1157^½

Simplify Square Root of 4629
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* List of Perfect Squares