Simplify Square Root of 5265

Here we will show you step-by-step how to simplify the square root of 5265. The square root of 5265 can be written as follows:


	√	5265

The √ symbol is called the radical sign. To simplify the square root of 5265 means to get the simplest radical form of √5265.

Step 1: List Factors
List the factors of 5265 like so:

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265

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

1, 9, 81

Step 3: Divide
Divide 5265 by the largest perfect square you found in the previous step:

5265 / 81 = 65

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5265 in its simplest form:


9	√	65

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Decimal Form
Square Root of 5265 in Decimal form rounded to nearest 5 decimals:

72.56032

Exponent Form
Square Root of 5265 written with Exponent instead of Radical:

5265^½ = 9 x 65^½

Simplify Square Root of 5266
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* List of Perfect Squares