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  2. Rationalisation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Rationalisation_(mathematics)

    In elementary algebra, root rationalisation (or rationalization) is a process by which radicals in the denominator of an algebraic fraction are eliminated.. If the denominator is a monomial in some radical, say , with k < n, rationalisation consists of multiplying the numerator and the denominator by , and replacing by x (this is allowed, as, by definition, a n th root of x is a number that ...

  3. National Council of Educational Research and Training

    en.wikipedia.org/wiki/National_Council_of...

    Dr. Dinesh Prasad Saklani is the director of NCERT since 2022. [2] In 2023, NCERT constituted a 19-member committee, including author and Infosys Foundation chair Sudha Murthy, singer Shankar Mahadevan, and Manjul Bhargava to finalize the curriculum, textbooks and learning material for classes 3 to 12. [4]

  4. Exercise (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Exercise_(mathematics)

    A mathematical exercise is a routine application of algebra or other mathematics to a stated challenge. Mathematics teachers assign mathematical exercises to develop the skills of their students. Early exercises deal with addition , subtraction , multiplication , and division of integers .

  5. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    The solution = is in fact a valid solution to the original equation; but the other solution, =, has disappeared. The problem is that we divided both sides by x {\displaystyle x} , which involves the indeterminate operation of dividing by zero when x = 0. {\displaystyle x=0.}

  6. Square root of 2 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_2

    Let a and b be positive integers such that 1< ⁠ a / b ⁠ < 3/2 (as 1<2< 9/4 satisfies these bounds). Now 2b 2 and a 2 cannot be equal, since the first has an odd number of factors 2 whereas the second has an even number of factors 2. Thus | 2b 2 − a 2 | ≥ 1. Multiplying the absolute difference | √ 2 − ⁠ a / b ⁠ | by b 2 (√ 2 ...

  7. Madhyamaka - Wikipedia

    en.wikipedia.org/wiki/Madhyamaka

    Chapter 15 of Nāgārjuna's Mūlamadhyamakakārikā centers on the words svabhava [note 1] parabhava [note 2] bhava [note 3] and abhava. [ note 4 ] According to Peter Harvey: Nagarjuna's critique of the notion of own-nature [ note 5 ] ( Mk. ch. 15) argues that anything which arises according to conditions, as all phenomena do, can have no ...

  8. Rationalization (sociology) - Wikipedia

    en.wikipedia.org/wiki/Rationalization_(sociology)

    In sociology, the term rationalization was coined by Max Weber, a German sociologist, jurist, and economist. [1] Rationalization (or rationalisation) is the replacement of traditions, values, and emotions as motivators for behavior in society with concepts based on rationality and reason. [2]

  9. Step 2/4 - Wikipedia

    en.wikipedia.org/wiki/Step_2/4

    Step 2/4 (stylized as step 2/4) is the debut solo extended play (EP) by South Korean singer and actress, Gain, a member from girl group Brown Eyed Girls. With the help of executive producer Jo Yeong-cheol and Lee Min-soo , the album was created with a sexy, spirited, striking and mature theme.