Simplify Square Root of 1136

Here we will show you step-by-step how to simplify the square root of 1136. The square root of 1136 can be written as follows:


	√	1136

The √ symbol is called the radical sign. To simplify the square root of 1136 means to get the simplest radical form of √1136.

Step 1: List Factors
List the factors of 1136 like so:

1, 2, 4, 8, 16, 71, 142, 284, 568, 1136

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

1, 4, 16

Step 3: Divide
Divide 1136 by the largest perfect square you found in the previous step:

1136 / 16 = 71

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1136 in its simplest form:


4	√	71

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Decimal Form
Square Root of 1136 in Decimal form rounded to nearest 5 decimals:

33.7046

Exponent Form
Square Root of 1136 written with Exponent instead of Radical:

1136^½ = 4 x 71^½

Simplify Square Root of 1137
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* List of Perfect Squares