Simplify Square Root of 4770

Here we will show you step-by-step how to simplify the square root of 4770. The square root of 4770 can be written as follows:


	√	4770

The √ symbol is called the radical sign. To simplify the square root of 4770 means to get the simplest radical form of √4770.

Step 1: List Factors
List the factors of 4770 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770

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

1, 9

Step 3: Divide
Divide 4770 by the largest perfect square you found in the previous step:

4770 / 9 = 530

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4770 in its simplest form:


3	√	530

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Decimal Form
Square Root of 4770 in Decimal form rounded to nearest 5 decimals:

69.06519

Exponent Form
Square Root of 4770 written with Exponent instead of Radical:

4770^½ = 3 x 530^½

Simplify Square Root of 4771
The answer to Simplify Square Root of 4770 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares