Simplify Square Root of 448

Here we will show you step-by-step how to simplify the square root of 448. The square root of 448 can be written as follows:


	√	448

The √ symbol is called the radical sign. To simplify the square root of 448 means to get the simplest radical form of √448.

Step 1: List Factors
List the factors of 448 like so:

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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

1, 4, 16, 64

Step 3: Divide
Divide 448 by the largest perfect square you found in the previous step:

448 / 64 = 7

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 448 in its simplest form:


8	√	7

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Decimal Form
Square Root of 448 in Decimal form rounded to nearest 5 decimals:

21.16601

Exponent Form
Square Root of 448 written with Exponent instead of Radical:

448^½ = 8 x 7^½

Simplify Square Root of 449
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* List of Perfect Squares