Simplify Square Root of 8260

Here we will show you step-by-step how to simplify the square root of 8260. The square root of 8260 can be written as follows:


	√	8260

The √ symbol is called the radical sign. To simplify the square root of 8260 means to get the simplest radical form of √8260.

Step 1: List Factors
List the factors of 8260 like so:

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260

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

1, 4

Step 3: Divide
Divide 8260 by the largest perfect square you found in the previous step:

8260 / 4 = 2065

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8260 in its simplest form:


2	√	2065

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Decimal Form
Square Root of 8260 in Decimal form rounded to nearest 5 decimals:

90.88454

Exponent Form
Square Root of 8260 written with Exponent instead of Radical:

8260^½ = 2 x 2065^½

Simplify Square Root of 8261
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* List of Perfect Squares