Simplify Square Root of 5290

Here we will show you step-by-step how to simplify the square root of 5290. The square root of 5290 can be written as follows:


	√	5290

The √ symbol is called the radical sign. To simplify the square root of 5290 means to get the simplest radical form of √5290.

Step 1: List Factors
List the factors of 5290 like so:

1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290

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

1, 529

Step 3: Divide
Divide 5290 by the largest perfect square you found in the previous step:

5290 / 529 = 10

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

√529 = 23

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5290 in its simplest form:


23	√	10

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Decimal Form
Square Root of 5290 in Decimal form rounded to nearest 5 decimals:

72.73239

Exponent Form
Square Root of 5290 written with Exponent instead of Radical:

5290^½ = 23 x 10^½

Simplify Square Root of 5291
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* List of Perfect Squares