Simplify Square Root of 135

Here we will show you step-by-step how to simplify the square root of 135. The square root of 135 can be written as follows:


	√	135

The √ symbol is called the radical sign. To simplify the square root of 135 means to get the simplest radical form of √135.

Step 1: List Factors
List the factors of 135 like so:

1, 3, 5, 9, 15, 27, 45, 135

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

1, 9

Step 3: Divide
Divide 135 by the largest perfect square you found in the previous step:

135 / 9 = 15

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 135 in its simplest form:


3	√	15

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Decimal Form
Square Root of 135 in Decimal form rounded to nearest 5 decimals:

11.61895

Exponent Form
Square Root of 135 written with Exponent instead of Radical:

135^½ = 3 x 15^½

Simplify Square Root of 136
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* List of Perfect Squares