Simplify Square Root of 2464

Here we will show you step-by-step how to simplify the square root of 2464. The square root of 2464 can be written as follows:


	√	2464

The √ symbol is called the radical sign. To simplify the square root of 2464 means to get the simplest radical form of √2464.

Step 1: List Factors
List the factors of 2464 like so:

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464

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

1, 4, 16

Step 3: Divide
Divide 2464 by the largest perfect square you found in the previous step:

2464 / 16 = 154

Step 4: Calculate
Calculate the square root of the largest perfect square:

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2464 in its simplest form:


4	√	154

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Decimal Form
Square Root of 2464 in Decimal form rounded to nearest 5 decimals:

49.63869

Exponent Form
Square Root of 2464 written with Exponent instead of Radical:

2464^½ = 4 x 154^½

Simplify Square Root of 2465
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* List of Perfect Squares