
Here we will show you step-by-step how to simplify the square root of 9675. The square root of 9675 can be written as follows:
| √ | 9675 |
The √ symbol is called the radical sign. To simplify the square root of 9675 means to get the simplest radical form of √9675.
Step 1: List Factors
List the factors of 9675 like so:
1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 9, 25, 225
Step 3: Divide
Divide 9675 by the largest perfect square you found in the previous step:
9675 / 225 = 43
Step 4: Calculate
Calculate the square root of the largest perfect square:
√225 = 15
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9675 in its simplest form:
| 15 | √ | 43 |
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Decimal Form
Square Root of 9675 in Decimal form rounded to nearest 5 decimals:
98.36158
Exponent Form
Square Root of 9675 written with Exponent instead of Radical:
9675½ = 15 x 43½
Simplify Square Root of 9676
The answer to Simplify Square Root of 9675 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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