Simplify Square Root of 7275

Here we will show you step-by-step how to simplify the square root of 7275. The square root of 7275 can be written as follows:


	√	7275

The √ symbol is called the radical sign. To simplify the square root of 7275 means to get the simplest radical form of √7275.

Step 1: List Factors
List the factors of 7275 like so:

1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275

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

1, 25

Step 3: Divide
Divide 7275 by the largest perfect square you found in the previous step:

7275 / 25 = 291

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 7275 in its simplest form:


5	√	291

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Decimal Form
Square Root of 7275 in Decimal form rounded to nearest 5 decimals:

85.29361

Exponent Form
Square Root of 7275 written with Exponent instead of Radical:

7275^½ = 5 x 291^½

Simplify Square Root of 7276
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* List of Perfect Squares