Simplify Square Root of 1274

Here we will show you step-by-step how to simplify the square root of 1274. The square root of 1274 can be written as follows:


	√	1274

The √ symbol is called the radical sign. To simplify the square root of 1274 means to get the simplest radical form of √1274.

Step 1: List Factors
List the factors of 1274 like so:

1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 637, 1274

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

1, 49

Step 3: Divide
Divide 1274 by the largest perfect square you found in the previous step:

1274 / 49 = 26

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1274 in its simplest form:


7	√	26

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Decimal Form
Square Root of 1274 in Decimal form rounded to nearest 5 decimals:

35.69314

Exponent Form
Square Root of 1274 written with Exponent instead of Radical:

1274^½ = 7 x 26^½

Simplify Square Root of 1275
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* List of Perfect Squares