
Here we will show you step-by-step how to simplify the square root of 2401. The square root of 2401 can be written as follows:
√ | 2401 |
The √ symbol is called the radical sign. To simplify the square root of 2401 means to get the simplest radical form of √2401.
Step 1: List Factors
List the factors of 81 like so:
1, 7, 49, 343, 2401
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 49, 2401
Since 2401 is on the list of perfect squares above, it means that 2401 is a perfect square.
That means you can simplify the square root of 2401 without the radical as follows:
49
Furthermore, you may also be interested to know that the square root of 2401 can be written with an Exponent like this:
2401½
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* List of Perfect Squares
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