Simplify Square Root of 1440

Here we will show you step-by-step how to simplify the square root of 1440. The square root of 1440 can be written as follows:


	√	1440

The √ symbol is called the radical sign. To simplify the square root of 1440 means to get the simplest radical form of √1440.

Step 1: List Factors
List the factors of 1440 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 1440 by the largest perfect square you found in the previous step:

1440 / 144 = 10

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1440 in its simplest form:


12	√	10

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Decimal Form
Square Root of 1440 in Decimal form rounded to nearest 5 decimals:

37.94733

Exponent Form
Square Root of 1440 written with Exponent instead of Radical:

1440^½ = 12 x 10^½

Simplify Square Root of 1441
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* List of Perfect Squares