Simplify Square Root of 150

Here we will show you step-by-step how to simplify the square root of 150. The square root of 150 can be written as follows:


	√	150

The √ symbol is called the radical sign. To simplify the square root of 150 means to get the simplest radical form of √150.

Step 1: List Factors
List the factors of 150 like so:

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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

1, 25

Step 3: Divide
Divide 150 by the largest perfect square you found in the previous step:

150 / 25 = 6

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 150 in its simplest form:


5	√	6

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Decimal Form
Square Root of 150 in Decimal form rounded to nearest 5 decimals:

12.24745

Exponent Form
Square Root of 150 written with Exponent instead of Radical:

150^½ = 5 x 6^½

Simplify Square Root of 151
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* List of Perfect Squares