Simplify Square Root of 9975

Here we will show you step-by-step how to simplify the square root of 9975. The square root of 9975 can be written as follows:


	√	9975

The √ symbol is called the radical sign. To simplify the square root of 9975 means to get the simplest radical form of √9975.

Step 1: List Factors
List the factors of 9975 like so:

1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975

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

1, 25

Step 3: Divide
Divide 9975 by the largest perfect square you found in the previous step:

9975 / 25 = 399

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 9975 in its simplest form:


5	√	399

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Decimal Form
Square Root of 9975 in Decimal form rounded to nearest 5 decimals:

99.87492

Exponent Form
Square Root of 9975 written with Exponent instead of Radical:

9975^½ = 5 x 399^½

Simplify Square Root of 9976
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* List of Perfect Squares