UPSC Exam > UPSC Videos > CSAT Preparation > Problem Set 1 : Square Root and Cube Root - Quantitative Aptitude
Problem Set 1 : Square Root and Cube Root - Quantitative Aptitude Video Lecture | CSAT Preparation - UPSC
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FAQs on Problem Set 1 : Square Root and Cube Root - Quantitative Aptitude Video Lecture - CSAT Preparation - UPSC
| 1. What is a square root? |  |
Ans. A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 multiplied by 3 equals 9.
| 2. What is a cube root? | |
Ans. A cube root of a number is 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 2 multiplied by 2 equals 8.
| 3. How can I find the square root of a number without a calculator? | |
Ans. To find the square root of a number without a calculator, you can use the long division method or the prime factorization method. In the long division method, you repeatedly divide the number by an approximation of the square root until you reach a satisfactory level of accuracy. In the prime factorization method, you write the number as a product of its prime factors and then take the square root of each factor. Finally, you multiply the square roots of the factors to get the square root of the original number.
| 4. What is the symbol for the square root? | |
Ans. The symbol for the square root is √. It is called the radical symbol. For example, √9 represents the square root of 9.
| 5. Can the square root of a negative number be real? | |
Ans. No, the square root of a negative number cannot be a real number. This is because the square of any real number is always positive or zero. However, in complex numbers, the square root of a negative number is defined. It is denoted by the symbol "i" and represents the imaginary unit.
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