
Here we will show you step-by-step how to simplify the square root of 2097. The square root of 2097 can be written as follows:
√ | 2097 |
The √ symbol is called the radical sign. To simplify the square root of 2097 means to get the simplest radical form of √2097.
Step 1: List Factors
List the factors of 2097 like so:
1, 3, 9, 233, 699, 2097
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 9
Step 3: Divide
Divide 2097 by the largest perfect square you found in the previous step:
2097 / 9 = 233
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 2097 in its simplest form:
3 | √ | 233 |
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Decimal Form
Square Root of 2097 in Decimal form rounded to nearest 5 decimals:
45.79301
Exponent Form
Square Root of 2097 written with Exponent instead of Radical:
2097½ = 3 x 233½
Simplify Square Root of 2098
The answer to Simplify Square Root of 2097 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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