Simplify Square Root of 4734

Here we will show you step-by-step how to simplify the square root of 4734. The square root of 4734 can be written as follows:


	√	4734

The √ symbol is called the radical sign. To simplify the square root of 4734 means to get the simplest radical form of √4734.

Step 1: List Factors
List the factors of 4734 like so:

1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734

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

1, 9

Step 3: Divide
Divide 4734 by the largest perfect square you found in the previous step:

4734 / 9 = 526

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 4734 in its simplest form:


3	√	526

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Decimal Form
Square Root of 4734 in Decimal form rounded to nearest 5 decimals:

68.80407

Exponent Form
Square Root of 4734 written with Exponent instead of Radical:

4734^½ = 3 x 526^½

Simplify Square Root of 4735
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* List of Perfect Squares