Simplify Square Root of 9825

Here we will show you step-by-step how to simplify the square root of 9825. The square root of 9825 can be written as follows:


	√	9825

The √ symbol is called the radical sign. To simplify the square root of 9825 means to get the simplest radical form of √9825.

Step 1: List Factors
List the factors of 9825 like so:

1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 25

Step 3: Divide
Divide 9825 by the largest perfect square you found in the previous step:

9825 / 25 = 393

Step 4: Calculate
Calculate the square root of the largest perfect square:

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9825 in its simplest form:


5	√	393

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Decimal Form
Square Root of 9825 in Decimal form rounded to nearest 5 decimals:

99.12114

Exponent Form
Square Root of 9825 written with Exponent instead of Radical:

9825^½ = 5 x 393^½

Simplify Square Root of 9826
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* List of Perfect Squares