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Tricks to find Roots & Square Roots Video Lecture | Quantitative Aptitude for SSC CGL

320 videos|195 docs|211 tests

FAQs on Tricks to find Roots & Square Roots Video Lecture - Quantitative Aptitude for SSC CGL

1. What is the difference between finding roots and square roots?
Ans. Finding roots refers to finding the solutions or values of an equation, whereas finding square roots refers specifically to finding the value that, when multiplied by itself, gives a certain number.
2. How can I find the roots of a quadratic equation?
Ans. To find the roots of a quadratic equation, you can use the quadratic formula or factorization method. The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
3. Are there any tricks or shortcuts to find square roots?
Ans. Yes, there are some tricks to find approximate square roots mentally. One such approach is the Babylonian method, where you make an initial guess and iteratively refine it until you get close to the actual square root. Another trick is using the digit-by-digit method, which involves breaking down the number into digits and finding the square root of each digit.
4. How can I find the roots of a higher degree polynomial equation?
Ans. Finding the roots of higher degree polynomial equations can be more complex. One method is to use the Rational Root Theorem to identify possible rational roots and then use synthetic division or long division to find the actual roots. Another approach is to use numerical methods such as Newton's method or the bisection method.
5. Can I use a calculator to find roots and square roots?
Ans. Yes, calculators can be used to find roots and square roots. Most scientific or graphing calculators have built-in functions to calculate roots and square roots directly. However, it is still important to understand the underlying concepts and methods to verify the calculator's results and interpret them correctly.
320 videos|195 docs|211 tests
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