Simplify Square Root of 5537

Here we will show you step-by-step how to simplify the square root of 5537. The square root of 5537 can be written as follows:


	√	5537

The √ symbol is called the radical sign. To simplify the square root of 5537 means to get the simplest radical form of √5537.

Step 1: List Factors
List the factors of 5537 like so:

1, 7, 49, 113, 791, 5537

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

1, 49

Step 3: Divide
Divide 5537 by the largest perfect square you found in the previous step:

5537 / 49 = 113

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5537 in its simplest form:


7	√	113

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

Decimal Form
Square Root of 5537 in Decimal form rounded to nearest 5 decimals:

74.41102

Exponent Form
Square Root of 5537 written with Exponent instead of Radical:

5537^½ = 7 x 113^½

Simplify Square Root of 5538
The answer to Simplify Square Root of 5537 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares