Simplify Square Root of 4464

Here we will show you step-by-step how to simplify the square root of 4464. The square root of 4464 can be written as follows:


	√	4464

The √ symbol is called the radical sign. To simplify the square root of 4464 means to get the simplest radical form of √4464.

Step 1: List Factors
List the factors of 4464 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232, 4464

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 4464 by the largest perfect square you found in the previous step:

4464 / 144 = 31

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 4464 in its simplest form:


12	√	31

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Decimal Form
Square Root of 4464 in Decimal form rounded to nearest 5 decimals:

66.81317

Exponent Form
Square Root of 4464 written with Exponent instead of Radical:

4464^½ = 12 x 31^½

Simplify Square Root of 4465
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* List of Perfect Squares