Simplify Square Root of 1422

Here we will show you step-by-step how to simplify the square root of 1422. The square root of 1422 can be written as follows:


	√	1422

The √ symbol is called the radical sign. To simplify the square root of 1422 means to get the simplest radical form of √1422.

Step 1: List Factors
List the factors of 1422 like so:

1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422

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

1, 9

Step 3: Divide
Divide 1422 by the largest perfect square you found in the previous step:

1422 / 9 = 158

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 1422 in its simplest form:


3	√	158

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

Decimal Form
Square Root of 1422 in Decimal form rounded to nearest 5 decimals:

37.70942

Exponent Form
Square Root of 1422 written with Exponent instead of Radical:

1422^½ = 3 x 158^½

Simplify Square Root of 1423
The answer to Simplify Square Root of 1422 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares