Simplify Square Root of 153

Here we will show you step-by-step how to simplify the square root of 153. The square root of 153 can be written as follows:


	√	153

The √ symbol is called the radical sign. To simplify the square root of 153 means to get the simplest radical form of √153.

Step 1: List Factors
List the factors of 153 like so:

1, 3, 9, 17, 51, 153

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

1, 9

Step 3: Divide
Divide 153 by the largest perfect square you found in the previous step:

153 / 9 = 17

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 153 in its simplest form:


3	√	17

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Decimal Form
Square Root of 153 in Decimal form rounded to nearest 5 decimals:

12.36932

Exponent Form
Square Root of 153 written with Exponent instead of Radical:

153^½ = 3 x 17^½

Simplify Square Root of 154
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* List of Perfect Squares