Simplify Square Root of 4275

Here we will show you step-by-step how to simplify the square root of 4275. The square root of 4275 can be written as follows:


	√	4275

The √ symbol is called the radical sign. To simplify the square root of 4275 means to get the simplest radical form of √4275.

Step 1: List Factors
List the factors of 4275 like so:

1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275

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

1, 9, 25, 225

Step 3: Divide
Divide 4275 by the largest perfect square you found in the previous step:

4275 / 225 = 19

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

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4275 in its simplest form:


15	√	19

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Decimal Form
Square Root of 4275 in Decimal form rounded to nearest 5 decimals:

65.38348

Exponent Form
Square Root of 4275 written with Exponent instead of Radical:

4275^½ = 15 x 19^½

Simplify Square Root of 4276
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* List of Perfect Squares