√192 solve with step by step explanation needed no spam or your answer will be deleted
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Answer:
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Here we will show you step-by-step how to simplify the square root of 192. The square root of 192 can be written as follows:
√ 192
The √ symbol is called the radical sign. To simplify the square root of 192 means to get the simplest radical form of √192.
Step 1: List Factors
List the factors of 192 like so:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 16, 64
Step 3: Divide
Divide 192 by the largest perfect square you found in the previous step:
192 / 64 = 3
Step 4: Calculate
Calculate the square root of the largest perfect square:
√64 = 8
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 192 in its simplest form:
8 √ 3