Simplify Square Root of 4914

Here we will show you step-by-step how to simplify the square root of 4914. The square root of 4914 can be written as follows:


	√	4914

The √ symbol is called the radical sign. To simplify the square root of 4914 means to get the simplest radical form of √4914.

Step 1: List Factors
List the factors of 4914 like so:

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914

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

1, 9

Step 3: Divide
Divide 4914 by the largest perfect square you found in the previous step:

4914 / 9 = 546

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 4914 in its simplest form:


3	√	546

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Decimal Form
Square Root of 4914 in Decimal form rounded to nearest 5 decimals:

70.09993

Exponent Form
Square Root of 4914 written with Exponent instead of Radical:

4914^½ = 3 x 546^½

Simplify Square Root of 4915
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* List of Perfect Squares