Here we will show you step-by-step how to simplify the square root of 120. The square root of 120 can be written as follows:
√ | 120 |
The √ symbol is called the radical sign. To simplify the square root of 120 means to get the simplest radical form of √120.
Step 1: List Factors
List the factors of 120 like so:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 120 by the largest perfect square you found in the previous step:
120 / 4 = 30
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 120 in its simplest form:
2 | √ | 30 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 120 in Decimal form rounded to nearest 5 decimals:
10.95445
Exponent Form
Square Root of 120 written with Exponent instead of Radical:
120½ = 2 x 30½
Simplify Square Root of 121
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* List of Perfect Squares
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