Simplify Square Root of 8253

Here we will show you step-by-step how to simplify the square root of 8253. The square root of 8253 can be written as follows:


	√	8253

The √ symbol is called the radical sign. To simplify the square root of 8253 means to get the simplest radical form of √8253.

Step 1: List Factors
List the factors of 8253 like so:

1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253

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

1, 9

Step 3: Divide
Divide 8253 by the largest perfect square you found in the previous step:

8253 / 9 = 917

Step 4: Calculate
Calculate the square root of the largest perfect square:

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8253 in its simplest form:


3	√	917

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Decimal Form
Square Root of 8253 in Decimal form rounded to nearest 5 decimals:

90.84602

Exponent Form
Square Root of 8253 written with Exponent instead of Radical:

8253^½ = 3 x 917^½

Simplify Square Root of 8254
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* List of Perfect Squares