Simplify Square Root of 5340

Here we will show you step-by-step how to simplify the square root of 5340. The square root of 5340 can be written as follows:


	√	5340

The √ symbol is called the radical sign. To simplify the square root of 5340 means to get the simplest radical form of √5340.

Step 1: List Factors
List the factors of 5340 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340

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

1, 4

Step 3: Divide
Divide 5340 by the largest perfect square you found in the previous step:

5340 / 4 = 1335

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 5340 in its simplest form:


2	√	1335

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Decimal Form
Square Root of 5340 in Decimal form rounded to nearest 5 decimals:

73.0753

Exponent Form
Square Root of 5340 written with Exponent instead of Radical:

5340^½ = 2 x 1335^½

Simplify Square Root of 5341
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* List of Perfect Squares