
Here we will show you step-by-step how to simplify the square root of 9700. The square root of 9700 can be written as follows:
| √ | 9700 |
The √ symbol is called the radical sign. To simplify the square root of 9700 means to get the simplest radical form of √9700.
Step 1: List Factors
List the factors of 9700 like so:
1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 25, 100
Step 3: Divide
Divide 9700 by the largest perfect square you found in the previous step:
9700 / 100 = 97
Step 4: Calculate
Calculate the square root of the largest perfect square:
√100 = 10
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9700 in its simplest form:
| 10 | √ | 97 |
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Decimal Form
Square Root of 9700 in Decimal form rounded to nearest 5 decimals:
98.48858
Exponent Form
Square Root of 9700 written with Exponent instead of Radical:
9700½ = 10 x 97½
Simplify Square Root of 9701
The answer to Simplify Square Root of 9700 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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