Simplify Square Root of 1170

Here we will show you step-by-step how to simplify the square root of 1170. The square root of 1170 can be written as follows:


	√	1170

The √ symbol is called the radical sign. To simplify the square root of 1170 means to get the simplest radical form of √1170.

Step 1: List Factors
List the factors of 1170 like so:

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170

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

1, 9

Step 3: Divide
Divide 1170 by the largest perfect square you found in the previous step:

1170 / 9 = 130

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1170 in its simplest form:


3	√	130

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Decimal Form
Square Root of 1170 in Decimal form rounded to nearest 5 decimals:

34.20526

Exponent Form
Square Root of 1170 written with Exponent instead of Radical:

1170^½ = 3 x 130^½

Simplify Square Root of 1171
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* List of Perfect Squares