Simplify Square Root of 284

Here we will show you step-by-step how to simplify the square root of 284. The square root of 284 can be written as follows:


	√	284

The √ symbol is called the radical sign. To simplify the square root of 284 means to get the simplest radical form of √284.

Step 1: List Factors
List the factors of 284 like so:

1, 2, 4, 71, 142, 284

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

1, 4

Step 3: Divide
Divide 284 by the largest perfect square you found in the previous step:

284 / 4 = 71

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 284 in its simplest form:


2	√	71

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

Decimal Form
Square Root of 284 in Decimal form rounded to nearest 5 decimals:

16.8523

Exponent Form
Square Root of 284 written with Exponent instead of Radical:

284^½ = 2 x 71^½

Simplify Square Root of 285
The answer to Simplify Square Root of 284 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares