Simplify Square Root of 8375

Here we will show you step-by-step how to simplify the square root of 8375. The square root of 8375 can be written as follows:


	√	8375

The √ symbol is called the radical sign. To simplify the square root of 8375 means to get the simplest radical form of √8375.

Step 1: List Factors
List the factors of 8375 like so:

1, 5, 25, 67, 125, 335, 1675, 8375

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

1, 25

Step 3: Divide
Divide 8375 by the largest perfect square you found in the previous step:

8375 / 25 = 335

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 8375 in its simplest form:


5	√	335

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Decimal Form
Square Root of 8375 in Decimal form rounded to nearest 5 decimals:

91.51503

Exponent Form
Square Root of 8375 written with Exponent instead of Radical:

8375^½ = 5 x 335^½

Simplify Square Root of 8376
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* List of Perfect Squares