Simplify Square Root of 5040

Here we will show you step-by-step how to simplify the square root of 5040. The square root of 5040 can be written as follows:


	√	5040

The √ symbol is called the radical sign. To simplify the square root of 5040 means to get the simplest radical form of √5040.

Step 1: List Factors
List the factors of 5040 like so:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 5040 by the largest perfect square you found in the previous step:

5040 / 144 = 35

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5040 in its simplest form:


12	√	35

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Decimal Form
Square Root of 5040 in Decimal form rounded to nearest 5 decimals:

70.99296

Exponent Form
Square Root of 5040 written with Exponent instead of Radical:

5040^½ = 12 x 35^½

Simplify Square Root of 5041
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* List of Perfect Squares