Simplify Square Root of 4959

Here we will show you step-by-step how to simplify the square root of 4959. The square root of 4959 can be written as follows:


	√	4959

The √ symbol is called the radical sign. To simplify the square root of 4959 means to get the simplest radical form of √4959.

Step 1: List Factors
List the factors of 4959 like so:

1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959

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

1, 9

Step 3: Divide
Divide 4959 by the largest perfect square you found in the previous step:

4959 / 9 = 551

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 4959 in its simplest form:


3	√	551

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Decimal Form
Square Root of 4959 in Decimal form rounded to nearest 5 decimals:

70.42017

Exponent Form
Square Root of 4959 written with Exponent instead of Radical:

4959^½ = 3 x 551^½

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* List of Perfect Squares