Simplify Square Root of 2972

Here we will show you step-by-step how to simplify the square root of 2972. The square root of 2972 can be written as follows:


	√	2972

The √ symbol is called the radical sign. To simplify the square root of 2972 means to get the simplest radical form of √2972.

Step 1: List Factors
List the factors of 2972 like so:

1, 2, 4, 743, 1486, 2972

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

1, 4

Step 3: Divide
Divide 2972 by the largest perfect square you found in the previous step:

2972 / 4 = 743

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 2972 in its simplest form:


2	√	743

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Decimal Form
Square Root of 2972 in Decimal form rounded to nearest 5 decimals:

54.51605

Exponent Form
Square Root of 2972 written with Exponent instead of Radical:

2972^½ = 2 x 743^½

Simplify Square Root of 2973
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* List of Perfect Squares