Simplify Square Root of 1972

Here we will show you step-by-step how to simplify the square root of 1972. The square root of 1972 can be written as follows:


	√	1972

The √ symbol is called the radical sign. To simplify the square root of 1972 means to get the simplest radical form of √1972.

Step 1: List Factors
List the factors of 1972 like so:

1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972

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

1, 4

Step 3: Divide
Divide 1972 by the largest perfect square you found in the previous step:

1972 / 4 = 493

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 1972 in its simplest form:


2	√	493

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 1972 in Decimal form rounded to nearest 5 decimals:

44.40721

Exponent Form
Square Root of 1972 written with Exponent instead of Radical:

1972^½ = 2 x 493^½

Simplify Square Root of 1973
The answer to Simplify Square Root of 1972 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares