
Here we will show you step-by-step how to simplify the square root of 2197. The square root of 2197 can be written as follows:
√ | 2197 |
The √ symbol is called the radical sign. To simplify the square root of 2197 means to get the simplest radical form of √2197.
Step 1: List Factors
List the factors of 2197 like so:
1, 13, 169, 2197
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 169
Step 3: Divide
Divide 2197 by the largest perfect square you found in the previous step:
2197 / 169 = 13
Step 4: Calculate
Calculate the square root of the largest perfect square:
√169 = 13
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2197 in its simplest form:
13 | √ | 13 |
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Decimal Form
Square Root of 2197 in Decimal form rounded to nearest 5 decimals:
46.87217
Exponent Form
Square Root of 2197 written with Exponent instead of Radical:
2197½ = 13 x 13½
Simplify Square Root of 2198
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* List of Perfect Squares
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