Simplify Square Root of 5460

Here we will show you step-by-step how to simplify the square root of 5460. The square root of 5460 can be written as follows:


	√	5460

The √ symbol is called the radical sign. To simplify the square root of 5460 means to get the simplest radical form of √5460.

Step 1: List Factors
List the factors of 5460 like so:

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460

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

1, 4

Step 3: Divide
Divide 5460 by the largest perfect square you found in the previous step:

5460 / 4 = 1365

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 5460 in its simplest form:


2	√	1365

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Decimal Form
Square Root of 5460 in Decimal form rounded to nearest 5 decimals:

73.89181

Exponent Form
Square Root of 5460 written with Exponent instead of Radical:

5460^½ = 2 x 1365^½

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* List of Perfect Squares