Simplify Square Root of 6432

Here we will show you step-by-step how to simplify the square root of 6432. The square root of 6432 can be written as follows:


	√	6432

The √ symbol is called the radical sign. To simplify the square root of 6432 means to get the simplest radical form of √6432.

Step 1: List Factors
List the factors of 6432 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432

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

1, 4, 16

Step 3: Divide
Divide 6432 by the largest perfect square you found in the previous step:

6432 / 16 = 402

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 6432 in its simplest form:


4	√	402

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Decimal Form
Square Root of 6432 in Decimal form rounded to nearest 5 decimals:

80.19975

Exponent Form
Square Root of 6432 written with Exponent instead of Radical:

6432^½ = 4 x 402^½

Simplify Square Root of 6433
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* List of Perfect Squares