
Here we will show you step-by-step how to simplify the square root of 1092. The square root of 1092 can be written as follows:
√ | 1092 |
The √ symbol is called the radical sign. To simplify the square root of 1092 means to get the simplest radical form of √1092.
Step 1: List Factors
List the factors of 1092 like so:
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 1092 by the largest perfect square you found in the previous step:
1092 / 4 = 273
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 1092 in its simplest form:
2 | √ | 273 |
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Decimal Form
Square Root of 1092 in Decimal form rounded to nearest 5 decimals:
33.04542
Exponent Form
Square Root of 1092 written with Exponent instead of Radical:
1092½ = 2 x 273½
Simplify Square Root of 1093
The answer to Simplify Square Root of 1092 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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