Simplify Square Root of 2424

Here we will show you step-by-step how to simplify the square root of 2424. The square root of 2424 can be written as follows:


	√	2424

The √ symbol is called the radical sign. To simplify the square root of 2424 means to get the simplest radical form of √2424.

Step 1: List Factors
List the factors of 2424 like so:

1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424

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

1, 4

Step 3: Divide
Divide 2424 by the largest perfect square you found in the previous step:

2424 / 4 = 606

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 2424 in its simplest form:


2	√	606

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Decimal Form
Square Root of 2424 in Decimal form rounded to nearest 5 decimals:

49.23413

Exponent Form
Square Root of 2424 written with Exponent instead of Radical:

2424^½ = 2 x 606^½

Simplify Square Root of 2425
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* List of Perfect Squares