Simplify Square Root of 1476

Here we will show you step-by-step how to simplify the square root of 1476. The square root of 1476 can be written as follows:


	√	1476

The √ symbol is called the radical sign. To simplify the square root of 1476 means to get the simplest radical form of √1476.

Step 1: List Factors
List the factors of 1476 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476

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

1, 4, 9, 36

Step 3: Divide
Divide 1476 by the largest perfect square you found in the previous step:

1476 / 36 = 41

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1476 in its simplest form:


6	√	41

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Decimal Form
Square Root of 1476 in Decimal form rounded to nearest 5 decimals:

38.41875

Exponent Form
Square Root of 1476 written with Exponent instead of Radical:

1476^½ = 6 x 41^½

Simplify Square Root of 1477
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* List of Perfect Squares