Simplify Square Root of 5152

Here we will show you step-by-step how to simplify the square root of 5152. The square root of 5152 can be written as follows:


	√	5152

The √ symbol is called the radical sign. To simplify the square root of 5152 means to get the simplest radical form of √5152.

Step 1: List Factors
List the factors of 5152 like so:

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152

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

1, 4, 16

Step 3: Divide
Divide 5152 by the largest perfect square you found in the previous step:

5152 / 16 = 322

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 5152 in its simplest form:


4	√	322

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

Decimal Form
Square Root of 5152 in Decimal form rounded to nearest 5 decimals:

71.77743

Exponent Form
Square Root of 5152 written with Exponent instead of Radical:

5152^½ = 4 x 322^½

Simplify Square Root of 5153
The answer to Simplify Square Root of 5152 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares