Simplify Square Root of 1251

Here we will show you step-by-step how to simplify the square root of 1251. The square root of 1251 can be written as follows:


	√	1251

The √ symbol is called the radical sign. To simplify the square root of 1251 means to get the simplest radical form of √1251.

Step 1: List Factors
List the factors of 1251 like so:

1, 3, 9, 139, 417, 1251

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

1, 9

Step 3: Divide
Divide 1251 by the largest perfect square you found in the previous step:

1251 / 9 = 139

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1251 in its simplest form:


3	√	139

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

Decimal Form
Square Root of 1251 in Decimal form rounded to nearest 5 decimals:

35.36948

Exponent Form
Square Root of 1251 written with Exponent instead of Radical:

1251^½ = 3 x 139^½

Simplify Square Root of 1252
The answer to Simplify Square Root of 1251 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares