Simplify Square Root of 168

Here we will show you step-by-step how to simplify the square root of 168. The square root of 168 can be written as follows:


	√	168

The √ symbol is called the radical sign. To simplify the square root of 168 means to get the simplest radical form of √168.

Step 1: List Factors
List the factors of 168 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

1, 4

Step 3: Divide
Divide 168 by the largest perfect square you found in the previous step:

168 / 4 = 42

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 168 in its simplest form:


2	√	42

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Decimal Form
Square Root of 168 in Decimal form rounded to nearest 5 decimals:

12.96148

Exponent Form
Square Root of 168 written with Exponent instead of Radical:

168^½ = 2 x 42^½

Simplify Square Root of 169
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* List of Perfect Squares