Simplify Square Root of 4000

Here we will show you step-by-step how to simplify the square root of 4000. The square root of 4000 can be written as follows:


	√	4000

The √ symbol is called the radical sign. To simplify the square root of 4000 means to get the simplest radical form of √4000.

Step 1: List Factors
List the factors of 4000 like so:

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000

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

1, 4, 16, 25, 100, 400

Step 3: Divide
Divide 4000 by the largest perfect square you found in the previous step:

4000 / 400 = 10

Step 4: Calculate
Calculate the square root of the largest perfect square:

√400 = 20

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4000 in its simplest form:


20	√	10

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Decimal Form
Square Root of 4000 in Decimal form rounded to nearest 5 decimals:

63.24555

Exponent Form
Square Root of 4000 written with Exponent instead of Radical:

4000^½ = 20 x 10^½

Simplify Square Root of 4001
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* List of Perfect Squares