Simplify Square Root of 896

Here we will show you step-by-step how to simplify the square root of 896. The square root of 896 can be written as follows:


	√	896

The √ symbol is called the radical sign. To simplify the square root of 896 means to get the simplest radical form of √896.

Step 1: List Factors
List the factors of 896 like so:

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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

1, 4, 16, 64

Step 3: Divide
Divide 896 by the largest perfect square you found in the previous step:

896 / 64 = 14

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 896 in its simplest form:


8	√	14

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Decimal Form
Square Root of 896 in Decimal form rounded to nearest 5 decimals:

29.93326

Exponent Form
Square Root of 896 written with Exponent instead of Radical:

896^½ = 8 x 14^½

Simplify Square Root of 897
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* List of Perfect Squares