1.
Radical Relationship is a sub-topic under ....
Correct Answer
D. Algebra
Explanation
Radical Relationship is a sub-topic under Algebra. Algebra deals with mathematical symbols and the rules for manipulating these symbols to solve equations and analyze relationships between variables. Radical relationships involve the use of radical expressions, which are expressions that contain square roots or other roots. Therefore, the correct answer is Algebra.
2.
Radical Relationship is a topic under .....
Correct Answer
A. Mathematics
Explanation
Radical Relationship is a topic under Mathematics. In mathematics, a radical relationship refers to the relationship between a radical symbol (√) and the number or expression inside it. Radicals are used to represent square roots, cube roots, and other higher order roots. Understanding radical relationships involves knowing how to simplify radicals, perform operations with them, and solve equations involving radicals. This topic is specific to mathematics and is not related to music, language, or literature.
3.
Mathematics is usually taught in ....?
Correct Answer
B. School
Explanation
Mathematics is usually taught in school because it is a subject that requires a structured learning environment and dedicated teachers who can guide students through the concepts and problem-solving techniques. Schools provide the necessary resources such as textbooks, calculators, and other learning materials to support the teaching and learning of mathematics. Additionally, schools offer a conducive atmosphere for students to collaborate with their peers, engage in discussions, and practice mathematical skills through various activities and exercises.
4.
To solve a radical, raise .... of the equation to the index of the radical.
Correct Answer
A. Both sides
Explanation
To solve a radical, you need to eliminate the radical sign. One way to do this is by raising both sides of the equation to the index of the radical. By doing so, the radical on the left side will be eliminated, and you will be left with an equation that is easier to solve. Raising only the left or right side of the equation would not eliminate the radical completely, so the correct approach is to raise both sides.
5.
Isolate the radical expression involving the variable. If more than one radical expression involves the variable, then isolate ... of them.
Correct Answer
B. One
Explanation
The correct answer is "One" because when isolating radical expressions involving a variable, we focus on isolating one of them. If there are multiple radical expressions involving the variable, we need to isolate only one at a time.
6.
A radical equation is an equation that deals with .....
Correct Answer
A. Square roots
Explanation
A radical equation is an equation that deals with square roots. In these equations, the variable is found inside a square root symbol. The goal is to isolate the variable by getting rid of the square root. This can be done by squaring both sides of the equation. The square root is a mathematical operation that determines the value that, when multiplied by itself, gives the original number. Therefore, square roots are directly related to radical equations.
7.
The root that seemed to work, but wasn't right when we checked it, is called an/a ....
Correct Answer
C. Extraneous root
Explanation
An extraneous root refers to a solution that appears to be valid but when substituted back into the original equation, it does not satisfy the equation. In other words, it is a root that doesn't actually work in the equation.
8.
Maths is studied by ..... .
Correct Answer
A. Students
Explanation
Maths is a subject that is typically studied by students. It involves the understanding and application of mathematical concepts, formulas, and problem-solving techniques. While angels, cleaners, and babies may have their own areas of expertise or interests, it is students who primarily engage in the study of mathematics as part of their education.
9.
These are all scientists except ....
Correct Answer
A. Bill Clinton
Explanation
The given options consist of famous scientists like Isaac Newton and Albert Einstein, as well as Bill Nye who is known as "The Science Guy." However, Bill Clinton is not a scientist but a former President of the United States. Therefore, the correct answer is Bill Clinton.
10.
Radical equations are often seen in ....
Correct Answer
A. Mathematics
Explanation
Radical equations involve the use of radical symbols (√) and are a fundamental concept in mathematics. They are used to solve equations that contain radicals, such as square roots. This concept is not typically found in subjects like English Language, Sociology, or Biology, making Mathematics the most suitable answer.