
Here we will show you step-by-step how to simplify the square root of 1692. The square root of 1692 can be written as follows:
√ | 1692 |
The √ symbol is called the radical sign. To simplify the square root of 1692 means to get the simplest radical form of √1692.
Step 1: List Factors
List the factors of 1692 like so:
1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 9, 36
Step 3: Divide
Divide 1692 by the largest perfect square you found in the previous step:
1692 / 36 = 47
Step 4: Calculate
Calculate the square root of the largest perfect square:
√36 = 6
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1692 in its simplest form:
6 | √ | 47 |
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Decimal Form
Square Root of 1692 in Decimal form rounded to nearest 5 decimals:
41.13393
Exponent Form
Square Root of 1692 written with Exponent instead of Radical:
1692½ = 6 x 47½
Simplify Square Root of 1693
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* List of Perfect Squares
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