How to use prime factorization to determine the square root of a number, sqrt(56)

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main reason 56 cannot be expressed as a product of two identical integers?
Because 56 is a composite number.
Because 56 is not a perfect square.
Because 56 is an even number.
Because 56 is a prime number.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in the prime factorization of 56?
Divide by 3.
Divide by 2.
Divide by 5.
Divide by 7.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After dividing 56 by 2 three times, what are the prime factors obtained?
2, 2, 3, 7
2, 3, 3, 7
2, 2, 2, 5
2, 2, 2, 7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can the square root of 2 * 2 be simplified to 2?
Because 2 * 2 equals 8.
Because 2 * 2 equals 5.
Because 2 * 2 equals 4, which is a perfect square.
Because 2 * 2 equals 6.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do the numbers 2 and 7 remain under the square root in the expression sqrt(56)?
Because they are both even numbers.
Because they do not form a pair.
Because they are both odd numbers.
Because they are both prime numbers.
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