Simplify Square Root of 6750

Here we will show you step-by-step how to simplify the square root of 6750. The square root of 6750 can be written as follows:


	√	6750

The √ symbol is called the radical sign. To simplify the square root of 6750 means to get the simplest radical form of √6750.

Step 1: List Factors
List the factors of 6750 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750

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

1, 9, 25, 225

Step 3: Divide
Divide 6750 by the largest perfect square you found in the previous step:

6750 / 225 = 30

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 6750 in its simplest form:


15	√	30

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Decimal Form
Square Root of 6750 in Decimal form rounded to nearest 5 decimals:

82.15838

Exponent Form
Square Root of 6750 written with Exponent instead of Radical:

6750^½ = 15 x 30^½

Simplify Square Root of 6751
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* List of Perfect Squares