Simplify Square Root of 5225

Here we will show you step-by-step how to simplify the square root of 5225. The square root of 5225 can be written as follows:


	√	5225

The √ symbol is called the radical sign. To simplify the square root of 5225 means to get the simplest radical form of √5225.

Step 1: List Factors
List the factors of 5225 like so:

1, 5, 11, 19, 25, 55, 95, 209, 275, 475, 1045, 5225

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

1, 25

Step 3: Divide
Divide 5225 by the largest perfect square you found in the previous step:

5225 / 25 = 209

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 5225 in its simplest form:


5	√	209

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Decimal Form
Square Root of 5225 in Decimal form rounded to nearest 5 decimals:

72.28416

Exponent Form
Square Root of 5225 written with Exponent instead of Radical:

5225^½ = 5 x 209^½

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* List of Perfect Squares