Simplify Square Root of 4072

Here we will show you step-by-step how to simplify the square root of 4072. The square root of 4072 can be written as follows:


	√	4072

The √ symbol is called the radical sign. To simplify the square root of 4072 means to get the simplest radical form of √4072.

Step 1: List Factors
List the factors of 4072 like so:

1, 2, 4, 8, 509, 1018, 2036, 4072

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

1, 4

Step 3: Divide
Divide 4072 by the largest perfect square you found in the previous step:

4072 / 4 = 1018

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 4072 in its simplest form:


2	√	1018

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Decimal Form
Square Root of 4072 in Decimal form rounded to nearest 5 decimals:

63.81222

Exponent Form
Square Root of 4072 written with Exponent instead of Radical:

4072^½ = 2 x 1018^½

Simplify Square Root of 4073
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* List of Perfect Squares