Simplify Square Root of 5670

Here we will show you step-by-step how to simplify the square root of 5670. The square root of 5670 can be written as follows:


	√	5670

The √ symbol is called the radical sign. To simplify the square root of 5670 means to get the simplest radical form of √5670.

Step 1: List Factors
List the factors of 5670 like so:

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670

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

1, 9, 81

Step 3: Divide
Divide 5670 by the largest perfect square you found in the previous step:

5670 / 81 = 70

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5670 in its simplest form:


9	√	70

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Decimal Form
Square Root of 5670 in Decimal form rounded to nearest 5 decimals:

75.2994

Exponent Form
Square Root of 5670 written with Exponent instead of Radical:

5670^½ = 9 x 70^½

Simplify Square Root of 5671
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* List of Perfect Squares