Simplify Square Root of 9525

Here we will show you step-by-step how to simplify the square root of 9525. The square root of 9525 can be written as follows:


	√	9525

The √ symbol is called the radical sign. To simplify the square root of 9525 means to get the simplest radical form of √9525.

Step 1: List Factors
List the factors of 9525 like so:

1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525

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

1, 25

Step 3: Divide
Divide 9525 by the largest perfect square you found in the previous step:

9525 / 25 = 381

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9525 in its simplest form:


5	√	381

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Decimal Form
Square Root of 9525 in Decimal form rounded to nearest 5 decimals:

97.59611

Exponent Form
Square Root of 9525 written with Exponent instead of Radical:

9525^½ = 5 x 381^½

Simplify Square Root of 9526
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* List of Perfect Squares