Simplify Square Root of 6325

Here we will show you step-by-step how to simplify the square root of 6325. The square root of 6325 can be written as follows:


	√	6325

The √ symbol is called the radical sign. To simplify the square root of 6325 means to get the simplest radical form of √6325.

Step 1: List Factors
List the factors of 6325 like so:

1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265, 6325

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

1, 25

Step 3: Divide
Divide 6325 by the largest perfect square you found in the previous step:

6325 / 25 = 253

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 6325 in its simplest form:


5	√	253

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Decimal Form
Square Root of 6325 in Decimal form rounded to nearest 5 decimals:

79.52987

Exponent Form
Square Root of 6325 written with Exponent instead of Radical:

6325^½ = 5 x 253^½

Simplify Square Root of 6326
The answer to Simplify Square Root of 6325 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares