Simplify Square Root of 5300

Here we will show you step-by-step how to simplify the square root of 5300. The square root of 5300 can be written as follows:


	√	5300

The √ symbol is called the radical sign. To simplify the square root of 5300 means to get the simplest radical form of √5300.

Step 1: List Factors
List the factors of 5300 like so:

1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300

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

1, 4, 25, 100

Step 3: Divide
Divide 5300 by the largest perfect square you found in the previous step:

5300 / 100 = 53

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5300 in its simplest form:


10	√	53

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Decimal Form
Square Root of 5300 in Decimal form rounded to nearest 5 decimals:

72.8011

Exponent Form
Square Root of 5300 written with Exponent instead of Radical:

5300^½ = 10 x 53^½

Simplify Square Root of 5301
The answer to Simplify Square Root of 5300 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares