Simplify Square Root of 1494

Here we will show you step-by-step how to simplify the square root of 1494. The square root of 1494 can be written as follows:


	√	1494

The √ symbol is called the radical sign. To simplify the square root of 1494 means to get the simplest radical form of √1494.

Step 1: List Factors
List the factors of 1494 like so:

1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494

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

1, 9

Step 3: Divide
Divide 1494 by the largest perfect square you found in the previous step:

1494 / 9 = 166

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1494 in its simplest form:


3	√	166

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Decimal Form
Square Root of 1494 in Decimal form rounded to nearest 5 decimals:

38.6523

Exponent Form
Square Root of 1494 written with Exponent instead of Radical:

1494^½ = 3 x 166^½

Simplify Square Root of 1495
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* List of Perfect Squares