Simplify Square Root of 9520

Here we will show you step-by-step how to simplify the square root of 9520. The square root of 9520 can be written as follows:


	√	9520

The √ symbol is called the radical sign. To simplify the square root of 9520 means to get the simplest radical form of √9520.

Step 1: List Factors
List the factors of 9520 like so:

1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520

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

1, 4, 16

Step 3: Divide
Divide 9520 by the largest perfect square you found in the previous step:

9520 / 16 = 595

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9520 in its simplest form:


4	√	595

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Decimal Form
Square Root of 9520 in Decimal form rounded to nearest 5 decimals:

97.57049

Exponent Form
Square Root of 9520 written with Exponent instead of Radical:

9520^½ = 4 x 595^½

Simplify Square Root of 9521
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* List of Perfect Squares