Simplify Square Root of 4964

Here we will show you step-by-step how to simplify the square root of 4964. The square root of 4964 can be written as follows:


	√	4964

The √ symbol is called the radical sign. To simplify the square root of 4964 means to get the simplest radical form of √4964.

Step 1: List Factors
List the factors of 4964 like so:

1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964

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

1, 4

Step 3: Divide
Divide 4964 by the largest perfect square you found in the previous step:

4964 / 4 = 1241

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 4964 in its simplest form:


2	√	1241

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Decimal Form
Square Root of 4964 in Decimal form rounded to nearest 5 decimals:

70.45566

Exponent Form
Square Root of 4964 written with Exponent instead of Radical:

4964^½ = 2 x 1241^½

Simplify Square Root of 4965
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* List of Perfect Squares