Simplify Square Root of 3200

Here we will show you step-by-step how to simplify the square root of 3200. The square root of 3200 can be written as follows:


	√	3200

The √ symbol is called the radical sign. To simplify the square root of 3200 means to get the simplest radical form of √3200.

Step 1: List Factors
List the factors of 3200 like so:

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200

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

1, 4, 16, 25, 64, 100, 400, 1600

Step 3: Divide
Divide 3200 by the largest perfect square you found in the previous step:

3200 / 1600 = 2

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

√1600 = 40

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3200 in its simplest form:


40	√	2

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Decimal Form
Square Root of 3200 in Decimal form rounded to nearest 5 decimals:

56.56854

Exponent Form
Square Root of 3200 written with Exponent instead of Radical:

3200^½ = 40 x 2^½

Simplify Square Root of 3201
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* List of Perfect Squares