Simplify Square Root of 637

Here we will show you step-by-step how to simplify the square root of 637. The square root of 637 can be written as follows:


	√	637

The √ symbol is called the radical sign. To simplify the square root of 637 means to get the simplest radical form of √637.

Step 1: List Factors
List the factors of 637 like so:

1, 7, 13, 49, 91, 637

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

1, 49

Step 3: Divide
Divide 637 by the largest perfect square you found in the previous step:

637 / 49 = 13

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 637 in its simplest form:


7	√	13

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

Decimal Form
Square Root of 637 in Decimal form rounded to nearest 5 decimals:

25.23886

Exponent Form
Square Root of 637 written with Exponent instead of Radical:

637^½ = 7 x 13^½

Simplify Square Root of 638
The answer to Simplify Square Root of 637 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares