Simplify Square Root of 4736

Here we will show you step-by-step how to simplify the square root of 4736. The square root of 4736 can be written as follows:


	√	4736

The √ symbol is called the radical sign. To simplify the square root of 4736 means to get the simplest radical form of √4736.

Step 1: List Factors
List the factors of 4736 like so:

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736

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

1, 4, 16, 64

Step 3: Divide
Divide 4736 by the largest perfect square you found in the previous step:

4736 / 64 = 74

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4736 in its simplest form:


8	√	74

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

Decimal Form
Square Root of 4736 in Decimal form rounded to nearest 5 decimals:

68.8186

Exponent Form
Square Root of 4736 written with Exponent instead of Radical:

4736^½ = 8 x 74^½

Simplify Square Root of 4737
The answer to Simplify Square Root of 4736 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares