Simplify Square Root of 5301

Here we will show you step-by-step how to simplify the square root of 5301. The square root of 5301 can be written as follows:


	√	5301

The √ symbol is called the radical sign. To simplify the square root of 5301 means to get the simplest radical form of √5301.

Step 1: List Factors
List the factors of 5301 like so:

1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301

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

1, 9

Step 3: Divide
Divide 5301 by the largest perfect square you found in the previous step:

5301 / 9 = 589

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 5301 in its simplest form:


3	√	589

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Decimal Form
Square Root of 5301 in Decimal form rounded to nearest 5 decimals:

72.80797

Exponent Form
Square Root of 5301 written with Exponent instead of Radical:

5301^½ = 3 x 589^½

Simplify Square Root of 5302
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* List of Perfect Squares