Simplify Square Root of 9675




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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