Simplify Square Root of 672

Here we will show you step-by-step how to simplify the square root of 672. The square root of 672 can be written as follows:


	√	672

The √ symbol is called the radical sign. To simplify the square root of 672 means to get the simplest radical form of √672.

Step 1: List Factors
List the factors of 672 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

1, 4, 16

Step 3: Divide
Divide 672 by the largest perfect square you found in the previous step:

672 / 16 = 42

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 672 in its simplest form:


4	√	42

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

Decimal Form
Square Root of 672 in Decimal form rounded to nearest 5 decimals:

25.92296

Exponent Form
Square Root of 672 written with Exponent instead of Radical:

672^½ = 4 x 42^½

Simplify Square Root of 673
The answer to Simplify Square Root of 672 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares