Simplify Square Root of 2825

Here we will show you step-by-step how to simplify the square root of 2825. The square root of 2825 can be written as follows:


	√	2825

The √ symbol is called the radical sign. To simplify the square root of 2825 means to get the simplest radical form of √2825.

Step 1: List Factors
List the factors of 2825 like so:

1, 5, 25, 113, 565, 2825

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

1, 25

Step 3: Divide
Divide 2825 by the largest perfect square you found in the previous step:

2825 / 25 = 113

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 2825 in its simplest form:


5	√	113

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Decimal Form
Square Root of 2825 in Decimal form rounded to nearest 5 decimals:

53.15073

Exponent Form
Square Root of 2825 written with Exponent instead of Radical:

2825^½ = 5 x 113^½

Simplify Square Root of 2826
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* List of Perfect Squares