Simplify Square Root of 440

Here we will show you step-by-step how to simplify the square root of 440. The square root of 440 can be written as follows:


	√	440

The √ symbol is called the radical sign. To simplify the square root of 440 means to get the simplest radical form of √440.

Step 1: List Factors
List the factors of 440 like so:

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

1, 4

Step 3: Divide
Divide 440 by the largest perfect square you found in the previous step:

440 / 4 = 110

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 440 in its simplest form:


2	√	110

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Decimal Form
Square Root of 440 in Decimal form rounded to nearest 5 decimals:

20.97618

Exponent Form
Square Root of 440 written with Exponent instead of Radical:

440^½ = 2 x 110^½

Simplify Square Root of 441
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* List of Perfect Squares