Simplify Square Root of 8475

Here we will show you step-by-step how to simplify the square root of 8475. The square root of 8475 can be written as follows:


	√	8475

The √ symbol is called the radical sign. To simplify the square root of 8475 means to get the simplest radical form of √8475.

Step 1: List Factors
List the factors of 8475 like so:

1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475

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

1, 25

Step 3: Divide
Divide 8475 by the largest perfect square you found in the previous step:

8475 / 25 = 339

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 8475 in its simplest form:


5	√	339

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Decimal Form
Square Root of 8475 in Decimal form rounded to nearest 5 decimals:

92.05976

Exponent Form
Square Root of 8475 written with Exponent instead of Radical:

8475^½ = 5 x 339^½

Simplify Square Root of 8476
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* List of Perfect Squares