Simplify Square Root of 1140

Here we will show you step-by-step how to simplify the square root of 1140. The square root of 1140 can be written as follows:


	√	1140

The √ symbol is called the radical sign. To simplify the square root of 1140 means to get the simplest radical form of √1140.

Step 1: List Factors
List the factors of 1140 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140

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

1, 4

Step 3: Divide
Divide 1140 by the largest perfect square you found in the previous step:

1140 / 4 = 285

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 1140 in its simplest form:


2	√	285

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Decimal Form
Square Root of 1140 in Decimal form rounded to nearest 5 decimals:

33.76389

Exponent Form
Square Root of 1140 written with Exponent instead of Radical:

1140^½ = 2 x 285^½

Simplify Square Root of 1141
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* List of Perfect Squares