Simplify Square Root of 9540

Here we will show you step-by-step how to simplify the square root of 9540. The square root of 9540 can be written as follows:


	√	9540

The √ symbol is called the radical sign. To simplify the square root of 9540 means to get the simplest radical form of √9540.

Step 1: List Factors
List the factors of 9540 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540

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

1, 4, 9, 36

Step 3: Divide
Divide 9540 by the largest perfect square you found in the previous step:

9540 / 36 = 265

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9540 in its simplest form:


6	√	265

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Decimal Form
Square Root of 9540 in Decimal form rounded to nearest 5 decimals:

97.67292

Exponent Form
Square Root of 9540 written with Exponent instead of Radical:

9540^½ = 6 x 265^½

Simplify Square Root of 9541
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* List of Perfect Squares