How Well Do You Know Cube Roots?
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In mathematics, a cube root of a number xis a number y such that y3 = x. All real numbers (except zero) have exactly one real cube root and a pair of complex. conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots.
- 1.
Cube Roots is studied in ....
- A.
Mathematics
- B.
Music
- C.
Literature
- D.
Language
Correct Answer
A. MathematicsExplanation
Cube roots are studied in mathematics. In mathematics, cube roots refer to finding the number that, when multiplied by itself twice, gives the original number. This concept is an important part of algebra and number theory. It is used in various mathematical calculations and problem-solving techniques. Therefore, cube roots are a topic specifically studied in mathematics.Rate this question:
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- 2.
All real numbers (except zero) have exactly how many real cube root?
- A.
One
- B.
Two
- C.
Three
- D.
Four
Correct Answer
A. OneExplanation
All real numbers (except zero) have exactly one real cube root because for any real number (except zero), there is only one number that when cubed will result in the original number. This is because the cube root is the inverse operation of cubing a number. For example, the cube root of 8 is 2 because 2 cubed equals 8. Therefore, there is only one real cube root for any given real number (except zero).Rate this question:
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- 3.
The calculation of cube roots can be to traced back to .....
- A.
Greek mathematicians
- B.
Babylonian mathematics
- C.
Latin mathematicians
- D.
English mathematicians
Correct Answer
B. Babylonian mathematicsExplanation
The calculation of cube roots can be traced back to Babylonian mathematics. The Babylonians were advanced mathematicians who developed a sophisticated number system and made significant contributions to various mathematical concepts, including the calculation of cube roots. They used a method known as the "duplation method" to approximate cube roots, which involved iteratively doubling the given number until it approached the desired cube root. This method was later refined and adopted by other ancient civilizations, including the Greeks, but its origins can be traced back to Babylonian mathematics.Rate this question:
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- 4.
The calculation of cube roots can be to traced back to Babylonian mathematicians from as early as 1800 BCE.
- A.
1700 BCE
- B.
1500 BCE
- C.
1800 BCE
- D.
1600 BCE
Correct Answer
C. 1800 BCEExplanation
The correct answer is 1800 BCE. The calculation of cube roots can be traced back to Babylonian mathematicians from as early as 1800 BCE.Rate this question:
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- 5.
..... posed the problem of doubling the cube, which required a compass-and-straightedge construction of the edge of a cube with twice the volume of a given cube.
- A.
Pythagoras
- B.
Plato
- C.
Brutus
- D.
Caesar
Correct Answer
B. PlatoExplanation
Plato, the ancient Greek philosopher, posed the problem of doubling the cube. This problem involves constructing the edge of a cube with twice the volume of a given cube using only a compass and straightedge. Plato's interest in geometry and mathematics is well-known, and he made significant contributions to these fields. Therefore, it is likely that he would have posed such a problem.Rate this question:
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- 6.
In what year did Plato posed the problem of doubling the cube, which required a compass-and-straightedge construction of the edge of a cube with twice the volume of a given cube?
- A.
1st Century BCE
- B.
3rd Century BCE
- C.
2nd Century BCE
- D.
4th Century BCE
Correct Answer
D. 4th Century BCEExplanation
Plato posed the problem of doubling the cube in the 4th Century BCE. This problem involved constructing the edge of a cube with twice the volume of a given cube using only a compass and straightedge.Rate this question:
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- 7.
The Greek mathematician Hero of Alexandria devised a method for calculating cube roots in the .....
- A.
1st century CE
- B.
2nd century CE
- C.
3rd century CE
- D.
4th century CE
Correct Answer
A. 1st century CEExplanation
The correct answer is 1st century CE. This is because Hero of Alexandria, a Greek mathematician, devised a method for calculating cube roots during this time period.Rate this question:
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- 8.
In .... Aryabhatiya, a mathematician-astronomer from the classical age of Indian mathematics and Indian astronomy, gave a method for finding the cube root of numbers having many digits in the Aryabhatiya.
- A.
449 CE
- B.
441 CE
- C.
445 CE
- D.
446 CE
Correct Answer
A. 449 CEExplanation
Aryabhatiya is a mathematical treatise written by the mathematician-astronomer Aryabhata. In this treatise, Aryabhata provided a method for finding the cube root of numbers with multiple digits. The correct answer, 449 CE, indicates the year in which Aryabhatiya was written and the method for finding cube roots was presented.Rate this question:
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- 9.
Mathematics, as a course is studied in ....
- A.
School
- B.
Church
- C.
Mosque
- D.
Restaurant
Correct Answer
A. SchoolExplanation
Mathematics is studied in school because it is a fundamental subject that provides students with essential problem-solving and critical thinking skills. It helps develop logical reasoning and analytical abilities, which are important for various careers and everyday life. Schools provide a structured environment where students can learn and practice mathematical concepts, theories, and techniques. Furthermore, mathematics is a core subject in most educational systems, and it is necessary for academic progression and further study in fields such as science, engineering, finance, and technology.Rate this question:
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- 10.
Who among them is not a mathematician?
- A.
Albert Einstein
- B.
Isaac Newton
- C.
Barack Obama
- D.
Pythagoras
Correct Answer
C. Barack ObamaExplanation
Barack Obama is not a mathematician because he is a politician and former President of the United States, not known for any contributions or expertise in the field of mathematics. On the other hand, Albert Einstein, Isaac Newton, and Pythagoras are renowned mathematicians who have made significant contributions to the field.Rate this question:
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Jan 17, 2025Quiz Edited by
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