Simplify Square Root of 5420

Here we will show you step-by-step how to simplify the square root of 5420. The square root of 5420 can be written as follows:


	√	5420

The √ symbol is called the radical sign. To simplify the square root of 5420 means to get the simplest radical form of √5420.

Step 1: List Factors
List the factors of 5420 like so:

1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420

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

1, 4

Step 3: Divide
Divide 5420 by the largest perfect square you found in the previous step:

5420 / 4 = 1355

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 5420 in its simplest form:


2	√	1355

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 5420 in Decimal form rounded to nearest 5 decimals:

73.62065

Exponent Form
Square Root of 5420 written with Exponent instead of Radical:

5420^½ = 2 x 1355^½

Simplify Square Root of 5421
The answer to Simplify Square Root of 5420 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares