Simplify Square Root of 6448

Here we will show you step-by-step how to simplify the square root of 6448. The square root of 6448 can be written as follows:


	√	6448

The √ symbol is called the radical sign. To simplify the square root of 6448 means to get the simplest radical form of √6448.

Step 1: List Factors
List the factors of 6448 like so:

1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496, 806, 1612, 3224, 6448

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

1, 4, 16

Step 3: Divide
Divide 6448 by the largest perfect square you found in the previous step:

6448 / 16 = 403

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 6448 in its simplest form:


4	√	403

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Decimal Form
Square Root of 6448 in Decimal form rounded to nearest 5 decimals:

80.29944

Exponent Form
Square Root of 6448 written with Exponent instead of Radical:

6448^½ = 4 x 403^½

Simplify Square Root of 6449
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* List of Perfect Squares