Simplify Square Root of 160

Here we will show you step-by-step how to simplify the square root of 160. The square root of 160 can be written as follows:


	√	160

The √ symbol is called the radical sign. To simplify the square root of 160 means to get the simplest radical form of √160.

Step 1: List Factors
List the factors of 160 like so:

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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

1, 4, 16

Step 3: Divide
Divide 160 by the largest perfect square you found in the previous step:

160 / 16 = 10

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 160 in its simplest form:


4	√	10

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

Decimal Form
Square Root of 160 in Decimal form rounded to nearest 5 decimals:

12.64911

Exponent Form
Square Root of 160 written with Exponent instead of Radical:

160^½ = 4 x 10^½

Simplify Square Root of 161
The answer to Simplify Square Root of 160 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares