Simplify Square Root of 9920

Here we will show you step-by-step how to simplify the square root of 9920. The square root of 9920 can be written as follows:


	√	9920

The √ symbol is called the radical sign. To simplify the square root of 9920 means to get the simplest radical form of √9920.

Step 1: List Factors
List the factors of 9920 like so:

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920

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

1, 4, 16, 64

Step 3: Divide
Divide 9920 by the largest perfect square you found in the previous step:

9920 / 64 = 155

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 9920 in its simplest form:


8	√	155

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Decimal Form
Square Root of 9920 in Decimal form rounded to nearest 5 decimals:

99.5992

Exponent Form
Square Root of 9920 written with Exponent instead of Radical:

9920^½ = 8 x 155^½

Simplify Square Root of 9921
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* List of Perfect Squares