Simplify Square Root of 275

Here we will show you step-by-step how to simplify the square root of 275. The square root of 275 can be written as follows:


	√	275

The √ symbol is called the radical sign. To simplify the square root of 275 means to get the simplest radical form of √275.

Step 1: List Factors
List the factors of 275 like so:

1, 5, 11, 25, 55, 275

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

1, 25

Step 3: Divide
Divide 275 by the largest perfect square you found in the previous step:

275 / 25 = 11

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 275 in its simplest form:


5	√	11

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Decimal Form
Square Root of 275 in Decimal form rounded to nearest 5 decimals:

16.58312

Exponent Form
Square Root of 275 written with Exponent instead of Radical:

275^½ = 5 x 11^½

Simplify Square Root of 276
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* List of Perfect Squares