Simplify Square Root of 2240

Here we will show you step-by-step how to simplify the square root of 2240. The square root of 2240 can be written as follows:


	√	2240

The √ symbol is called the radical sign. To simplify the square root of 2240 means to get the simplest radical form of √2240.

Step 1: List Factors
List the factors of 2240 like so:

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240

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

1, 4, 16, 64

Step 3: Divide
Divide 2240 by the largest perfect square you found in the previous step:

2240 / 64 = 35

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2240 in its simplest form:


8	√	35

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Decimal Form
Square Root of 2240 in Decimal form rounded to nearest 5 decimals:

47.32864

Exponent Form
Square Root of 2240 written with Exponent instead of Radical:

2240^½ = 8 x 35^½

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* List of Perfect Squares