Simplify Square Root of 5360

Here we will show you step-by-step how to simplify the square root of 5360. The square root of 5360 can be written as follows:


	√	5360

The √ symbol is called the radical sign. To simplify the square root of 5360 means to get the simplest radical form of √5360.

Step 1: List Factors
List the factors of 5360 like so:

1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360

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

1, 4, 16

Step 3: Divide
Divide 5360 by the largest perfect square you found in the previous step:

5360 / 16 = 335

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5360 in its simplest form:


4	√	335

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Decimal Form
Square Root of 5360 in Decimal form rounded to nearest 5 decimals:

73.21202

Exponent Form
Square Root of 5360 written with Exponent instead of Radical:

5360^½ = 4 x 335^½

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* List of Perfect Squares