Simplify Square Root of 4932

Here we will show you step-by-step how to simplify the square root of 4932. The square root of 4932 can be written as follows:


	√	4932

The √ symbol is called the radical sign. To simplify the square root of 4932 means to get the simplest radical form of √4932.

Step 1: List Factors
List the factors of 4932 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932

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

1, 4, 9, 36

Step 3: Divide
Divide 4932 by the largest perfect square you found in the previous step:

4932 / 36 = 137

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4932 in its simplest form:


6	√	137

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Decimal Form
Square Root of 4932 in Decimal form rounded to nearest 5 decimals:

70.2282

Exponent Form
Square Root of 4932 written with Exponent instead of Radical:

4932^½ = 6 x 137^½

Simplify Square Root of 4933
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* List of Perfect Squares