Here we will show you step-by-step how to simplify the square root of 48. The square root of 48 can be written as follows:
√ | 48 |
The √ symbol is called the radical sign. To simplify the square root of 48 means to get the simplest radical form of √48.
Step 1: List Factors
List the factors of 48 like so:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 16
Step 3: Divide
Divide 48 by the largest perfect square you found in the previous step:
48 / 16 = 3
Step 4: Calculate
Calculate the square root of the largest perfect square:
√16 = 4
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 48 in its simplest form:
4 | √ | 3 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 48 in Decimal form rounded to nearest 5 decimals:
6.9282
Exponent Form
Square Root of 48 written with Exponent instead of Radical:
48½ = 4 x 3½
Simplify Square Root of 49
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* List of Perfect Squares
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