Simplify Square Root of 9800

Here we will show you step-by-step how to simplify the square root of 9800. The square root of 9800 can be written as follows:


	√	9800

The √ symbol is called the radical sign. To simplify the square root of 9800 means to get the simplest radical form of √9800.

Step 1: List Factors
List the factors of 9800 like so:

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800

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

1, 4, 25, 49, 100, 196, 1225, 4900

Step 3: Divide
Divide 9800 by the largest perfect square you found in the previous step:

9800 / 4900 = 2

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

√4900 = 70

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9800 in its simplest form:


70	√	2

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Decimal Form
Square Root of 9800 in Decimal form rounded to nearest 5 decimals:

98.99495

Exponent Form
Square Root of 9800 written with Exponent instead of Radical:

9800^½ = 70 x 2^½

Simplify Square Root of 9801
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* List of Perfect Squares