Simplify Square Root of 5202

Here we will show you step-by-step how to simplify the square root of 5202. The square root of 5202 can be written as follows:


	√	5202

The √ symbol is called the radical sign. To simplify the square root of 5202 means to get the simplest radical form of √5202.

Step 1: List Factors
List the factors of 5202 like so:

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202

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

1, 9, 289, 2601

Step 3: Divide
Divide 5202 by the largest perfect square you found in the previous step:

5202 / 2601 = 2

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

√2601 = 51

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5202 in its simplest form:


51	√	2

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Decimal Form
Square Root of 5202 in Decimal form rounded to nearest 5 decimals:

72.12489

Exponent Form
Square Root of 5202 written with Exponent instead of Radical:

5202^½ = 51 x 2^½

Simplify Square Root of 5203
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* List of Perfect Squares