Simplify Square Root of 825

Here we will show you step-by-step how to simplify the square root of 825. The square root of 825 can be written as follows:


	√	825

The √ symbol is called the radical sign. To simplify the square root of 825 means to get the simplest radical form of √825.

Step 1: List Factors
List the factors of 825 like so:

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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

1, 25

Step 3: Divide
Divide 825 by the largest perfect square you found in the previous step:

825 / 25 = 33

Step 4: Calculate
Calculate the square root of the largest perfect square:

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 825 in its simplest form:


5	√	33

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Decimal Form
Square Root of 825 in Decimal form rounded to nearest 5 decimals:

28.72281

Exponent Form
Square Root of 825 written with Exponent instead of Radical:

825^½ = 5 x 33^½

Simplify Square Root of 826
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* List of Perfect Squares