Simplify Square Root of 5240

Here we will show you step-by-step how to simplify the square root of 5240. The square root of 5240 can be written as follows:


	√	5240

The √ symbol is called the radical sign. To simplify the square root of 5240 means to get the simplest radical form of √5240.

Step 1: List Factors
List the factors of 5240 like so:

1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240

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

1, 4

Step 3: Divide
Divide 5240 by the largest perfect square you found in the previous step:

5240 / 4 = 1310

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5240 in its simplest form:


2	√	1310

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Decimal Form
Square Root of 5240 in Decimal form rounded to nearest 5 decimals:

72.38784

Exponent Form
Square Root of 5240 written with Exponent instead of Radical:

5240^½ = 2 x 1310^½

Simplify Square Root of 5241
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* List of Perfect Squares