Simplify Square Root of 2432

Here we will show you step-by-step how to simplify the square root of 2432. The square root of 2432 can be written as follows:


	√	2432

The √ symbol is called the radical sign. To simplify the square root of 2432 means to get the simplest radical form of √2432.

Step 1: List Factors
List the factors of 2432 like so:

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432

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

1, 4, 16, 64

Step 3: Divide
Divide 2432 by the largest perfect square you found in the previous step:

2432 / 64 = 38

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2432 in its simplest form:


8	√	38

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Decimal Form
Square Root of 2432 in Decimal form rounded to nearest 5 decimals:

49.31531

Exponent Form
Square Root of 2432 written with Exponent instead of Radical:

2432^½ = 8 x 38^½

Simplify Square Root of 2433
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* List of Perfect Squares