Simplify Square Root of 1132

Here we will show you step-by-step how to simplify the square root of 1132. The square root of 1132 can be written as follows:


	√	1132

The √ symbol is called the radical sign. To simplify the square root of 1132 means to get the simplest radical form of √1132.

Step 1: List Factors
List the factors of 1132 like so:

1, 2, 4, 283, 566, 1132

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

1, 4

Step 3: Divide
Divide 1132 by the largest perfect square you found in the previous step:

1132 / 4 = 283

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 1132 in its simplest form:


2	√	283

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Decimal Form
Square Root of 1132 in Decimal form rounded to nearest 5 decimals:

33.64521

Exponent Form
Square Root of 1132 written with Exponent instead of Radical:

1132^½ = 2 x 283^½

Simplify Square Root of 1133
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* List of Perfect Squares