QQuestionMathematics
QuestionMathematics
"Is 88 a perfect square?
A. Yes, because there is a number, 44, that can be multiplied by 2 to give 88.
B. No, because the proper factors of 88 are 2, 4, 8, 11, 22, and 44, and none of these factors gives 88 when multiplied by itself.
C. Yes, because there is a whole number, 7,744, which is equal to 88 multiplied by itself.
D. No, because perfect squares must be odd numbers."
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Answer
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Step 1:: Identify the definition of a perfect square.
A perfect square is the result of squaring a whole number. In other words, it is the product of a number with itself.
Step 2:: Analyze the given options and check if 88 is a perfect square.
\sqrt{88} \approx 9.38$
We can do this by finding the square root of 88 and checking if it is a whole number. Since the square root of 88 is not a whole number, 88 is not a perfect square.
Step 3:: Evaluate the given options.
In fact, $$88^2 = 7,744$$ which means 7,744 is the perfect square, not 88.
Option A is incorrect because having a number that can be multiplied by another number to give 88 does not make 88 a perfect square. Option B is correct in listing the factors of 88 but incorrect in concluding that 88 is not a perfect square based on these factors. Option C is incorrect because 7,744 is not equal to 88 multiplied by itself. Option D is incorrect because perfect squares do not have to be odd numbers. They can be odd or even.
Final Answer
No, 88 is not a perfect square.
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