
Here we will show you step-by-step how to simplify the square root of 1062. The square root of 1062 can be written as follows:
√ | 1062 |
The √ symbol is called the radical sign. To simplify the square root of 1062 means to get the simplest radical form of √1062.
Step 1: List Factors
List the factors of 1062 like so:
1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 9
Step 3: Divide
Divide 1062 by the largest perfect square you found in the previous step:
1062 / 9 = 118
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 1062 in its simplest form:
3 | √ | 118 |
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Decimal Form
Square Root of 1062 in Decimal form rounded to nearest 5 decimals:
32.58834
Exponent Form
Square Root of 1062 written with Exponent instead of Radical:
1062½ = 3 x 118½
Simplify Square Root of 1063
The answer to Simplify Square Root of 1062 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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