Simplify Square Root of 1488

Here we will show you step-by-step how to simplify the square root of 1488. The square root of 1488 can be written as follows:


	√	1488

The √ symbol is called the radical sign. To simplify the square root of 1488 means to get the simplest radical form of √1488.

Step 1: List Factors
List the factors of 1488 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488

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

1, 4, 16

Step 3: Divide
Divide 1488 by the largest perfect square you found in the previous step:

1488 / 16 = 93

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1488 in its simplest form:


4	√	93

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Decimal Form
Square Root of 1488 in Decimal form rounded to nearest 5 decimals:

38.5746

Exponent Form
Square Root of 1488 written with Exponent instead of Radical:

1488^½ = 4 x 93^½

Simplify Square Root of 1489
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* List of Perfect Squares