Simplify Square Root of 8250

Here we will show you step-by-step how to simplify the square root of 8250. The square root of 8250 can be written as follows:


	√	8250

The √ symbol is called the radical sign. To simplify the square root of 8250 means to get the simplest radical form of √8250.

Step 1: List Factors
List the factors of 8250 like so:

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250

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

1, 25

Step 3: Divide
Divide 8250 by the largest perfect square you found in the previous step:

8250 / 25 = 330

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 8250 in its simplest form:


5	√	330

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Decimal Form
Square Root of 8250 in Decimal form rounded to nearest 5 decimals:

90.82951

Exponent Form
Square Root of 8250 written with Exponent instead of Radical:

8250^½ = 5 x 330^½

Simplify Square Root of 8251
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* List of Perfect Squares