Simplify Square Root of 7975

Here we will show you step-by-step how to simplify the square root of 7975. The square root of 7975 can be written as follows:


	√	7975

The √ symbol is called the radical sign. To simplify the square root of 7975 means to get the simplest radical form of √7975.

Step 1: List Factors
List the factors of 7975 like so:

1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975

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

1, 25

Step 3: Divide
Divide 7975 by the largest perfect square you found in the previous step:

7975 / 25 = 319

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 7975 in its simplest form:


5	√	319

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Decimal Form
Square Root of 7975 in Decimal form rounded to nearest 5 decimals:

89.30286

Exponent Form
Square Root of 7975 written with Exponent instead of Radical:

7975^½ = 5 x 319^½

Simplify Square Root of 7976
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* List of Perfect Squares