Simplify Square Root of 1260

Here we will show you step-by-step how to simplify the square root of 1260. The square root of 1260 can be written as follows:


	√	1260

The √ symbol is called the radical sign. To simplify the square root of 1260 means to get the simplest radical form of √1260.

Step 1: List Factors
List the factors of 1260 like so:

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260

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

1, 4, 9, 36

Step 3: Divide
Divide 1260 by the largest perfect square you found in the previous step:

1260 / 36 = 35

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 1260 in its simplest form:


6	√	35

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Decimal Form
Square Root of 1260 in Decimal form rounded to nearest 5 decimals:

35.49648

Exponent Form
Square Root of 1260 written with Exponent instead of Radical:

1260^½ = 6 x 35^½

Simplify Square Root of 1261
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* List of Perfect Squares