Simplify Square Root of 6700

Here we will show you step-by-step how to simplify the square root of 6700. The square root of 6700 can be written as follows:


	√	6700

The √ symbol is called the radical sign. To simplify the square root of 6700 means to get the simplest radical form of √6700.

Step 1: List Factors
List the factors of 6700 like so:

1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350, 6700

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

1, 4, 25, 100

Step 3: Divide
Divide 6700 by the largest perfect square you found in the previous step:

6700 / 100 = 67

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6700 in its simplest form:


10	√	67

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Decimal Form
Square Root of 6700 in Decimal form rounded to nearest 5 decimals:

81.85353

Exponent Form
Square Root of 6700 written with Exponent instead of Radical:

6700^½ = 10 x 67^½

Simplify Square Root of 6701
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* List of Perfect Squares