Simplify Square Root of 1278

Here we will show you step-by-step how to simplify the square root of 1278. The square root of 1278 can be written as follows:


	√	1278

The √ symbol is called the radical sign. To simplify the square root of 1278 means to get the simplest radical form of √1278.

Step 1: List Factors
List the factors of 1278 like so:

1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278

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

1, 9

Step 3: Divide
Divide 1278 by the largest perfect square you found in the previous step:

1278 / 9 = 142

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 1278 in its simplest form:


3	√	142

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Decimal Form
Square Root of 1278 in Decimal form rounded to nearest 5 decimals:

35.74913

Exponent Form
Square Root of 1278 written with Exponent instead of Radical:

1278^½ = 3 x 142^½

Simplify Square Root of 1279
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* List of Perfect Squares