Simplify Square Root of 975

Here we will show you step-by-step how to simplify the square root of 975. The square root of 975 can be written as follows:


	√	975

The √ symbol is called the radical sign. To simplify the square root of 975 means to get the simplest radical form of √975.

Step 1: List Factors
List the factors of 975 like so:

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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

1, 25

Step 3: Divide
Divide 975 by the largest perfect square you found in the previous step:

975 / 25 = 39

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 975 in its simplest form:


5	√	39

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Decimal Form
Square Root of 975 in Decimal form rounded to nearest 5 decimals:

31.22499

Exponent Form
Square Root of 975 written with Exponent instead of Radical:

975^½ = 5 x 39^½

Simplify Square Root of 976
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* List of Perfect Squares