Simplify Square Root of 4977

Here we will show you step-by-step how to simplify the square root of 4977. The square root of 4977 can be written as follows:


	√	4977

The √ symbol is called the radical sign. To simplify the square root of 4977 means to get the simplest radical form of √4977.

Step 1: List Factors
List the factors of 4977 like so:

1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977

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

1, 9

Step 3: Divide
Divide 4977 by the largest perfect square you found in the previous step:

4977 / 9 = 553

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 4977 in its simplest form:


3	√	553

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Decimal Form
Square Root of 4977 in Decimal form rounded to nearest 5 decimals:

70.54786

Exponent Form
Square Root of 4977 written with Exponent instead of Radical:

4977^½ = 3 x 553^½

Simplify Square Root of 4978
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* List of Perfect Squares