Simplify Square Root of 2760

Here we will show you step-by-step how to simplify the square root of 2760. The square root of 2760 can be written as follows:


	√	2760

The √ symbol is called the radical sign. To simplify the square root of 2760 means to get the simplest radical form of √2760.

Step 1: List Factors
List the factors of 2760 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760

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

1, 4

Step 3: Divide
Divide 2760 by the largest perfect square you found in the previous step:

2760 / 4 = 690

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 2760 in its simplest form:


2	√	690

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Decimal Form
Square Root of 2760 in Decimal form rounded to nearest 5 decimals:

52.5357

Exponent Form
Square Root of 2760 written with Exponent instead of Radical:

2760^½ = 2 x 690^½

Simplify Square Root of 2761
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* List of Perfect Squares