Simplify Square Root of 4732

Here we will show you step-by-step how to simplify the square root of 4732. The square root of 4732 can be written as follows:


	√	4732

The √ symbol is called the radical sign. To simplify the square root of 4732 means to get the simplest radical form of √4732.

Step 1: List Factors
List the factors of 4732 like so:

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732

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

1, 4, 169, 676

Step 3: Divide
Divide 4732 by the largest perfect square you found in the previous step:

4732 / 676 = 7

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

√676 = 26

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4732 in its simplest form:


26	√	7

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Decimal Form
Square Root of 4732 in Decimal form rounded to nearest 5 decimals:

68.78953

Exponent Form
Square Root of 4732 written with Exponent instead of Radical:

4732^½ = 26 x 7^½

Simplify Square Root of 4733
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* List of Perfect Squares