Simplify Square Root of 1484

Here we will show you step-by-step how to simplify the square root of 1484. The square root of 1484 can be written as follows:


	√	1484

The √ symbol is called the radical sign. To simplify the square root of 1484 means to get the simplest radical form of √1484.

Step 1: List Factors
List the factors of 1484 like so:

1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484

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

1, 4

Step 3: Divide
Divide 1484 by the largest perfect square you found in the previous step:

1484 / 4 = 371

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 1484 in its simplest form:


2	√	371

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Decimal Form
Square Root of 1484 in Decimal form rounded to nearest 5 decimals:

38.52272

Exponent Form
Square Root of 1484 written with Exponent instead of Radical:

1484^½ = 2 x 371^½

Simplify Square Root of 1485
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* List of Perfect Squares