Simplify Square Root of 5292

Here we will show you step-by-step how to simplify the square root of 5292. The square root of 5292 can be written as follows:


	√	5292

The √ symbol is called the radical sign. To simplify the square root of 5292 means to get the simplest radical form of √5292.

Step 1: List Factors
List the factors of 5292 like so:

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292

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

1, 4, 9, 36, 49, 196, 441, 1764

Step 3: Divide
Divide 5292 by the largest perfect square you found in the previous step:

5292 / 1764 = 3

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

√1764 = 42

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5292 in its simplest form:


42	√	3

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Decimal Form
Square Root of 5292 in Decimal form rounded to nearest 5 decimals:

72.74613

Exponent Form
Square Root of 5292 written with Exponent instead of Radical:

5292^½ = 42 x 3^½

Simplify Square Root of 5293
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* List of Perfect Squares