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Square Roots & Cube Roots- 1 Video Lecture | UPSC CSAT: Crash Course (English)
FAQs on Square Roots & Cube Roots- 1 Video Lecture - UPSC CSAT: Crash Course (English)
| 1. What is the definition of a square root? |  |
Ans. A square root is a mathematical operation that determines a value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5 because 5 multiplied by itself equals 25.
| 2. How can we find the square root of a number? | |
Ans. The square root of a number can be found using various methods, such as prime factorization, long division, or by using a calculator. One common method is to use the prime factorization method, where the number is broken down into its prime factors and then the square root is determined by taking one factor from each pair.
| 3. What is the definition of a cube root? | |
Ans. A cube root is a mathematical operation that determines a value that, when multiplied by itself twice, gives the original number. For example, the cube root of 8 is 2 because 2 multiplied by itself twice (2 x 2 x 2) equals 8.
| 4. How can we find the cube root of a number? | |
Ans. The cube root of a number can be found using various methods, such as prime factorization, estimation, or by using a scientific calculator. One common method is to use estimation, where you find a number that, when multiplied by itself twice, is close to the original number.
| 5. What are the practical applications of square roots and cube roots? | |
Ans. Square roots and cube roots have various applications in real-life scenarios, including but not limited to architecture, engineering, finance, and computer graphics. For example, in architecture, square roots are used to determine the length of sides in squares or rectangles, while cube roots may be used in engineering to calculate the volume of cuboid-shaped objects.
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Nov 22, 2024 Last updated |
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