Simplify Square Root of 5112

Here we will show you step-by-step how to simplify the square root of 5112. The square root of 5112 can be written as follows:


	√	5112

The √ symbol is called the radical sign. To simplify the square root of 5112 means to get the simplest radical form of √5112.

Step 1: List Factors
List the factors of 5112 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112

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

1, 4, 9, 36

Step 3: Divide
Divide 5112 by the largest perfect square you found in the previous step:

5112 / 36 = 142

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5112 in its simplest form:


6	√	142

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Decimal Form
Square Root of 5112 in Decimal form rounded to nearest 5 decimals:

71.49825

Exponent Form
Square Root of 5112 written with Exponent instead of Radical:

5112^½ = 6 x 142^½

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* List of Perfect Squares