Simplify Square Root of 4992

Here we will show you step-by-step how to simplify the square root of 4992. The square root of 4992 can be written as follows:


	√	4992

The √ symbol is called the radical sign. To simplify the square root of 4992 means to get the simplest radical form of √4992.

Step 1: List Factors
List the factors of 4992 like so:

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992

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

1, 4, 16, 64

Step 3: Divide
Divide 4992 by the largest perfect square you found in the previous step:

4992 / 64 = 78

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4992 in its simplest form:


8	√	78

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Decimal Form
Square Root of 4992 in Decimal form rounded to nearest 5 decimals:

70.65409

Exponent Form
Square Root of 4992 written with Exponent instead of Radical:

4992^½ = 8 x 78^½

Simplify Square Root of 4993
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* List of Perfect Squares