Simplify Square Root of 5203

Here we will show you step-by-step how to simplify the square root of 5203. The square root of 5203 can be written as follows:


	√	5203

The √ symbol is called the radical sign. To simplify the square root of 5203 means to get the simplest radical form of √5203.

Step 1: List Factors
List the factors of 5203 like so:

1, 11, 43, 121, 473, 5203

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

1, 121

Step 3: Divide
Divide 5203 by the largest perfect square you found in the previous step:

5203 / 121 = 43

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5203 in its simplest form:


11	√	43

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Decimal Form
Square Root of 5203 in Decimal form rounded to nearest 5 decimals:

72.13182

Exponent Form
Square Root of 5203 written with Exponent instead of Radical:

5203^½ = 11 x 43^½

Simplify Square Root of 5204
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* List of Perfect Squares