Simplify Square Root of 5124

Here we will show you step-by-step how to simplify the square root of 5124. The square root of 5124 can be written as follows:


	√	5124

The √ symbol is called the radical sign. To simplify the square root of 5124 means to get the simplest radical form of √5124.

Step 1: List Factors
List the factors of 5124 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124

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

1, 4

Step 3: Divide
Divide 5124 by the largest perfect square you found in the previous step:

5124 / 4 = 1281

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5124 in its simplest form:


2	√	1281

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Decimal Form
Square Root of 5124 in Decimal form rounded to nearest 5 decimals:

71.58212

Exponent Form
Square Root of 5124 written with Exponent instead of Radical:

5124^½ = 2 x 1281^½

Simplify Square Root of 5125
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* List of Perfect Squares