Simplify Square Root of 4768

Here we will show you step-by-step how to simplify the square root of 4768. The square root of 4768 can be written as follows:


	√	4768

The √ symbol is called the radical sign. To simplify the square root of 4768 means to get the simplest radical form of √4768.

Step 1: List Factors
List the factors of 4768 like so:

1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768

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

1, 4, 16

Step 3: Divide
Divide 4768 by the largest perfect square you found in the previous step:

4768 / 16 = 298

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 4768 in its simplest form:


4	√	298

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Decimal Form
Square Root of 4768 in Decimal form rounded to nearest 5 decimals:

69.05071

Exponent Form
Square Root of 4768 written with Exponent instead of Radical:

4768^½ = 4 x 298^½

Simplify Square Root of 4769
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* List of Perfect Squares