Simplify Square Root of 4998

Here we will show you step-by-step how to simplify the square root of 4998. The square root of 4998 can be written as follows:


	√	4998

The √ symbol is called the radical sign. To simplify the square root of 4998 means to get the simplest radical form of √4998.

Step 1: List Factors
List the factors of 4998 like so:

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499, 4998

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

1, 49

Step 3: Divide
Divide 4998 by the largest perfect square you found in the previous step:

4998 / 49 = 102

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4998 in its simplest form:


7	√	102

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Decimal Form
Square Root of 4998 in Decimal form rounded to nearest 5 decimals:

70.69653

Exponent Form
Square Root of 4998 written with Exponent instead of Radical:

4998^½ = 7 x 102^½

Simplify Square Root of 4999
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* List of Perfect Squares