Here we will show you step-by-step how to simplify the square root of 72. The square root of 72 can be written as follows:
√ | 72 |
The √ symbol is called the radical sign. To simplify the square root of 72 means to get the simplest radical form of √72.
Step 1: List Factors
List the factors of 72 like so:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 9, 36
Step 3: Divide
Divide 72 by the largest perfect square you found in the previous step:
72 / 36 = 2
Step 4: Calculate
Calculate the square root of the largest perfect square:
√36 = 6
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 72 in its simplest form:
6 | √ | 2 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 72 in Decimal form rounded to nearest 5 decimals:
8.48528
Exponent Form
Square Root of 72 written with Exponent instead of Radical:
72½ = 6 x 2½
Simplify Square Root of 73
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* List of Perfect Squares
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