Simplify Square Root of 5148

Here we will show you step-by-step how to simplify the square root of 5148. The square root of 5148 can be written as follows:


	√	5148

The √ symbol is called the radical sign. To simplify the square root of 5148 means to get the simplest radical form of √5148.

Step 1: List Factors
List the factors of 5148 like so:

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148

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

1, 4, 9, 36

Step 3: Divide
Divide 5148 by the largest perfect square you found in the previous step:

5148 / 36 = 143

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 5148 in its simplest form:


6	√	143

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Decimal Form
Square Root of 5148 in Decimal form rounded to nearest 5 decimals:

71.74956

Exponent Form
Square Root of 5148 written with Exponent instead of Radical:

5148^½ = 6 x 143^½

Simplify Square Root of 5149
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* List of Perfect Squares