SSC CGL Exam > SSC CGL Videos > Quantitative Aptitude for SSC CGL > Tips & Tricks: Square & Cube Roots - 1
Tips & Tricks: Square & Cube Roots - 1 Video Lecture | Quantitative Aptitude for SSC CGL
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FAQs on Tips & Tricks: Square & Cube Roots - 1 Video Lecture - Quantitative Aptitude for SSC CGL
| 1. What is a square root and how is it calculated? |  |
Ans. A square root is a value that, when multiplied by itself, gives the original number. It is denoted by the symbol √. To calculate the square root of a number, you can use a calculator or estimate it by finding a number that, when multiplied by itself, is close to the original number.
| 2. What is a cube root and how is it calculated? | |
Ans. A cube root is a value that, when multiplied by itself three times, gives the original number. It is denoted by the symbol ∛. To calculate the cube root of a number, you can use a calculator or estimate it by finding a number that, when multiplied by itself three times, is close to the original number.
| 3. How can I simplify square roots and cube roots? | |
Ans. To simplify square roots, you can factorize the number inside the square root sign and look for pairs of identical factors. Take out one factor from each pair, and what remains inside the square root sign is the simplified form. For cube roots, you can use a similar approach, but look for triplets of identical factors instead of pairs.
| 4. What are some properties of square roots and cube roots? | |
Ans. Some properties of square roots include: the square root of a product is equal to the product of the square roots of the individual factors, the square root of a quotient is equal to the quotient of the square roots of the numerator and denominator, and the square root of a square is equal to the absolute value of the original number.
Some properties of cube roots include: the cube root of a product is equal to the product of the cube roots of the individual factors, the cube root of a quotient is equal to the quotient of the cube roots of the numerator and denominator, and the cube root of a cube is equal to the original number.
| 5. How can I solve equations involving square roots and cube roots? | |
Ans. To solve equations involving square roots, you can isolate the square root term on one side of the equation and then square both sides to eliminate the square root. However, it's important to check for extraneous solutions, as squaring both sides of an equation can introduce false solutions.
To solve equations involving cube roots, you can isolate the cube root term on one side of the equation and then cube both sides to eliminate the cube root. Again, it's crucial to check for extraneous solutions, as cubing both sides of an equation can also introduce false solutions.
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Nov 22, 2024 Last updated |
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