Simplify Square Root of 5274

Here we will show you step-by-step how to simplify the square root of 5274. The square root of 5274 can be written as follows:


	√	5274

The √ symbol is called the radical sign. To simplify the square root of 5274 means to get the simplest radical form of √5274.

Step 1: List Factors
List the factors of 5274 like so:

1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274

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

1, 9

Step 3: Divide
Divide 5274 by the largest perfect square you found in the previous step:

5274 / 9 = 586

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5274 in its simplest form:


3	√	586

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Decimal Form
Square Root of 5274 in Decimal form rounded to nearest 5 decimals:

72.62231

Exponent Form
Square Root of 5274 written with Exponent instead of Radical:

5274^½ = 3 x 586^½

Simplify Square Root of 5275
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* List of Perfect Squares