Simplify Square Root of 464

Here we will show you step-by-step how to simplify the square root of 464. The square root of 464 can be written as follows:


	√	464

The √ symbol is called the radical sign. To simplify the square root of 464 means to get the simplest radical form of √464.

Step 1: List Factors
List the factors of 464 like so:

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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

1, 4, 16

Step 3: Divide
Divide 464 by the largest perfect square you found in the previous step:

464 / 16 = 29

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 464 in its simplest form:


4	√	29

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

Decimal Form
Square Root of 464 in Decimal form rounded to nearest 5 decimals:

21.54066

Exponent Form
Square Root of 464 written with Exponent instead of Radical:

464^½ = 4 x 29^½

Simplify Square Root of 465
The answer to Simplify Square Root of 464 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares