Simplify Square Root of 5382

Here we will show you step-by-step how to simplify the square root of 5382. The square root of 5382 can be written as follows:


	√	5382

The √ symbol is called the radical sign. To simplify the square root of 5382 means to get the simplest radical form of √5382.

Step 1: List Factors
List the factors of 5382 like so:

1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382

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

1, 9

Step 3: Divide
Divide 5382 by the largest perfect square you found in the previous step:

5382 / 9 = 598

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 5382 in its simplest form:


3	√	598

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Decimal Form
Square Root of 5382 in Decimal form rounded to nearest 5 decimals:

73.36212

Exponent Form
Square Root of 5382 written with Exponent instead of Radical:

5382^½ = 3 x 598^½

Simplify Square Root of 5383
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* List of Perfect Squares