Simplify Square Root of 4772

Here we will show you step-by-step how to simplify the square root of 4772. The square root of 4772 can be written as follows:


	√	4772

The √ symbol is called the radical sign. To simplify the square root of 4772 means to get the simplest radical form of √4772.

Step 1: List Factors
List the factors of 4772 like so:

1, 2, 4, 1193, 2386, 4772

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

1, 4

Step 3: Divide
Divide 4772 by the largest perfect square you found in the previous step:

4772 / 4 = 1193

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4772 in its simplest form:


2	√	1193

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Decimal Form
Square Root of 4772 in Decimal form rounded to nearest 5 decimals:

69.07966

Exponent Form
Square Root of 4772 written with Exponent instead of Radical:

4772^½ = 2 x 1193^½

Simplify Square Root of 4773
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* List of Perfect Squares