Simplify Square Root of 6375

Here we will show you step-by-step how to simplify the square root of 6375. The square root of 6375 can be written as follows:


	√	6375

The √ symbol is called the radical sign. To simplify the square root of 6375 means to get the simplest radical form of √6375.

Step 1: List Factors
List the factors of 6375 like so:

1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375

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

1, 25

Step 3: Divide
Divide 6375 by the largest perfect square you found in the previous step:

6375 / 25 = 255

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 6375 in its simplest form:


5	√	255

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Decimal Form
Square Root of 6375 in Decimal form rounded to nearest 5 decimals:

79.8436

Exponent Form
Square Root of 6375 written with Exponent instead of Radical:

6375^½ = 5 x 255^½

Simplify Square Root of 6376
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* List of Perfect Squares