Simplify Square Root of 4972

Here we will show you step-by-step how to simplify the square root of 4972. The square root of 4972 can be written as follows:


	√	4972

The √ symbol is called the radical sign. To simplify the square root of 4972 means to get the simplest radical form of √4972.

Step 1: List Factors
List the factors of 4972 like so:

1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972

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

1, 4

Step 3: Divide
Divide 4972 by the largest perfect square you found in the previous step:

4972 / 4 = 1243

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 4972 in its simplest form:


2	√	1243

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Decimal Form
Square Root of 4972 in Decimal form rounded to nearest 5 decimals:

70.51241

Exponent Form
Square Root of 4972 written with Exponent instead of Radical:

4972^½ = 2 x 1243^½

Simplify Square Root of 4973
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* List of Perfect Squares