Simplify Square Root of 6075

Here we will show you step-by-step how to simplify the square root of 6075. The square root of 6075 can be written as follows:


	√	6075

The √ symbol is called the radical sign. To simplify the square root of 6075 means to get the simplest radical form of √6075.

Step 1: List Factors
List the factors of 6075 like so:

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075

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

1, 9, 25, 81, 225, 2025

Step 3: Divide
Divide 6075 by the largest perfect square you found in the previous step:

6075 / 2025 = 3

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

√2025 = 45

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6075 in its simplest form:


45	√	3

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Decimal Form
Square Root of 6075 in Decimal form rounded to nearest 5 decimals:

77.94229

Exponent Form
Square Root of 6075 written with Exponent instead of Radical:

6075^½ = 45 x 3^½

Simplify Square Root of 6076
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* List of Perfect Squares