Simplify Square Root of 5247

Here we will show you step-by-step how to simplify the square root of 5247. The square root of 5247 can be written as follows:


	√	5247

The √ symbol is called the radical sign. To simplify the square root of 5247 means to get the simplest radical form of √5247.

Step 1: List Factors
List the factors of 5247 like so:

1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247

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

1, 9

Step 3: Divide
Divide 5247 by the largest perfect square you found in the previous step:

5247 / 9 = 583

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 5247 in its simplest form:


3	√	583

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Decimal Form
Square Root of 5247 in Decimal form rounded to nearest 5 decimals:

72.43618

Exponent Form
Square Root of 5247 written with Exponent instead of Radical:

5247^½ = 3 x 583^½

Simplify Square Root of 5248
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* List of Perfect Squares