Simplify Square Root of 5130

Here we will show you step-by-step how to simplify the square root of 5130. The square root of 5130 can be written as follows:


	√	5130

The √ symbol is called the radical sign. To simplify the square root of 5130 means to get the simplest radical form of √5130.

Step 1: List Factors
List the factors of 5130 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130

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

1, 9

Step 3: Divide
Divide 5130 by the largest perfect square you found in the previous step:

5130 / 9 = 570

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 5130 in its simplest form:


3	√	570

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Decimal Form
Square Root of 5130 in Decimal form rounded to nearest 5 decimals:

71.62402

Exponent Form
Square Root of 5130 written with Exponent instead of Radical:

5130^½ = 3 x 570^½

Simplify Square Root of 5131
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* List of Perfect Squares