3
QuizMultiple Choice

Pythagorean Theorem — Test

Question 3 • Foundations of Math 1

Which inequalities are true? Choose four correct answers.

Answer
A
square root of 8 is less than 2
B
square root of 8 is greater than 8
C
0 is less than square root of 8
D
1 is less than square root of 8
E
square root of 8 is less than 3
F
square root of 8 is greater than square root of 7

Explanation

Since 2² = 4 and 3² = 9, √8 is between 2 and 3 (about 2.83). Therefore, 0 < √8, 1 < √8, and √8 < 3. Also, 8 > 7, so √8 > √7. The true inequalities are “0 is less than √8,” “1 is less than √8,” “√8 is less than 3,” and “√8 is greater than √7.”

AI-written and checked against the verified answer.

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