Simplify Square Root of 1536

Here we will show you step-by-step how to simplify the square root of 1536. The square root of 1536 can be written as follows:


	√	1536

The √ symbol is called the radical sign. To simplify the square root of 1536 means to get the simplest radical form of √1536.

Step 1: List Factors
List the factors of 1536 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1536

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 1536 by the largest perfect square you found in the previous step:

1536 / 256 = 6

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1536 in its simplest form:


16	√	6

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

Decimal Form
Square Root of 1536 in Decimal form rounded to nearest 5 decimals:

39.19184

Exponent Form
Square Root of 1536 written with Exponent instead of Radical:

1536^½ = 16 x 6^½

Simplify Square Root of 1537
The answer to Simplify Square Root of 1536 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares