Simplify Square Root of 1143

Here we will show you step-by-step how to simplify the square root of 1143. The square root of 1143 can be written as follows:


	√	1143

The √ symbol is called the radical sign. To simplify the square root of 1143 means to get the simplest radical form of √1143.

Step 1: List Factors
List the factors of 1143 like so:

1, 3, 9, 127, 381, 1143

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

1, 9

Step 3: Divide
Divide 1143 by the largest perfect square you found in the previous step:

1143 / 9 = 127

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1143 in its simplest form:


3	√	127

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Decimal Form
Square Root of 1143 in Decimal form rounded to nearest 5 decimals:

33.80828

Exponent Form
Square Root of 1143 written with Exponent instead of Radical:

1143^½ = 3 x 127^½

Simplify Square Root of 1144
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* List of Perfect Squares