Simplify Square Root of 4956

Here we will show you step-by-step how to simplify the square root of 4956. The square root of 4956 can be written as follows:


	√	4956

The √ symbol is called the radical sign. To simplify the square root of 4956 means to get the simplest radical form of √4956.

Step 1: List Factors
List the factors of 4956 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956

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

1, 4

Step 3: Divide
Divide 4956 by the largest perfect square you found in the previous step:

4956 / 4 = 1239

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 4956 in its simplest form:


2	√	1239

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Decimal Form
Square Root of 4956 in Decimal form rounded to nearest 5 decimals:

70.39886

Exponent Form
Square Root of 4956 written with Exponent instead of Radical:

4956^½ = 2 x 1239^½

Simplify Square Root of 4957
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* List of Perfect Squares