Simplify Square Root of 5384

Here we will show you step-by-step how to simplify the square root of 5384. The square root of 5384 can be written as follows:


	√	5384

The √ symbol is called the radical sign. To simplify the square root of 5384 means to get the simplest radical form of √5384.

Step 1: List Factors
List the factors of 5384 like so:

1, 2, 4, 8, 673, 1346, 2692, 5384

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

1, 4

Step 3: Divide
Divide 5384 by the largest perfect square you found in the previous step:

5384 / 4 = 1346

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5384 in its simplest form:


2	√	1346

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Decimal Form
Square Root of 5384 in Decimal form rounded to nearest 5 decimals:

73.37575

Exponent Form
Square Root of 5384 written with Exponent instead of Radical:

5384^½ = 2 x 1346^½

Simplify Square Root of 5385
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* List of Perfect Squares