Simplify Square Root of 832

Here we will show you step-by-step how to simplify the square root of 832. The square root of 832 can be written as follows:


	√	832

The √ symbol is called the radical sign. To simplify the square root of 832 means to get the simplest radical form of √832.

Step 1: List Factors
List the factors of 832 like so:

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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

1, 4, 16, 64

Step 3: Divide
Divide 832 by the largest perfect square you found in the previous step:

832 / 64 = 13

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 832 in its simplest form:


8	√	13

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Decimal Form
Square Root of 832 in Decimal form rounded to nearest 5 decimals:

28.84441

Exponent Form
Square Root of 832 written with Exponent instead of Radical:

832^½ = 8 x 13^½

Simplify Square Root of 833
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* List of Perfect Squares