Simplify Square Root of 1275

Here we will show you step-by-step how to simplify the square root of 1275. The square root of 1275 can be written as follows:


	√	1275

The √ symbol is called the radical sign. To simplify the square root of 1275 means to get the simplest radical form of √1275.

Step 1: List Factors
List the factors of 1275 like so:

1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275

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

1, 25

Step 3: Divide
Divide 1275 by the largest perfect square you found in the previous step:

1275 / 25 = 51

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1275 in its simplest form:


5	√	51

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Decimal Form
Square Root of 1275 in Decimal form rounded to nearest 5 decimals:

35.70714

Exponent Form
Square Root of 1275 written with Exponent instead of Radical:

1275^½ = 5 x 51^½

Simplify Square Root of 1276
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* List of Perfect Squares