Simplify Square Root of 5380

Here we will show you step-by-step how to simplify the square root of 5380. The square root of 5380 can be written as follows:


	√	5380

The √ symbol is called the radical sign. To simplify the square root of 5380 means to get the simplest radical form of √5380.

Step 1: List Factors
List the factors of 5380 like so:

1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380

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

1, 4

Step 3: Divide
Divide 5380 by the largest perfect square you found in the previous step:

5380 / 4 = 1345

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 5380 in its simplest form:


2	√	1345

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Decimal Form
Square Root of 5380 in Decimal form rounded to nearest 5 decimals:

73.34848

Exponent Form
Square Root of 5380 written with Exponent instead of Radical:

5380^½ = 2 x 1345^½

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* List of Perfect Squares