Simplify Square Root of 2460

Here we will show you step-by-step how to simplify the square root of 2460. The square root of 2460 can be written as follows:


	√	2460

The √ symbol is called the radical sign. To simplify the square root of 2460 means to get the simplest radical form of √2460.

Step 1: List Factors
List the factors of 2460 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460

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

1, 4

Step 3: Divide
Divide 2460 by the largest perfect square you found in the previous step:

2460 / 4 = 615

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 2460 in its simplest form:


2	√	615

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Decimal Form
Square Root of 2460 in Decimal form rounded to nearest 5 decimals:

49.59839

Exponent Form
Square Root of 2460 written with Exponent instead of Radical:

2460^½ = 2 x 615^½

Simplify Square Root of 2461
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* List of Perfect Squares