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A square root of a number x is a number r which, when squared, becomes x: =. Every positive real number has two square roots, one positive and one negative. For example, the two square roots of 25 are 5 and −5. The positive square root is also known as the principal square root, and is denoted with a radical sign:
The square root of a positive integer is the product of the roots of its prime factors, because the square root of a product is the product of the square roots of the factors. Since p 2 k = p k , {\textstyle {\sqrt {p^{2k}}}=p^{k},} only roots of those primes having an odd power in the factorization are necessary.
In mathematics, the radical symbol, radical sign, root symbol, or surd is a symbol for the square root or higher-order root of a number. The square root of a number x is written as , while the n th root of x is written as . It is also used for other meanings in more advanced mathematics, such as the radical of an ideal. In linguistics, the ...
Radical expression involving roots, also known as an nth root; Radical symbol (√), used to indicate the square root and other roots; Radical of an algebraic group, a concept in algebraic group theory; Radical of an ideal, an important concept in abstract algebra; Radical of a ring, an ideal of "bad" elements of a ring
In the case of three real roots, the square root expression is an imaginary number; here any real root is expressed by defining the first cube root to be any specific complex cube root of the complex radicand, and by defining the second cube root to be the complex conjugate of the first one.
Farhang-e-Asifiya (Urdu: فرہنگ آصفیہ, lit. 'The Dictionary of Asif') is an Urdu-to-Urdu dictionary compiled by Syed Ahmad Dehlvi. [1] It has more than 60,000 entries in four volumes. [2] It was first published in January 1901 by Rifah-e-Aam Press in Lahore, present-day Pakistan. [3] [4]
The Urdu Dictionary Board (Urdu: اردو لغت بورڈ, romanized: Urdu Lughat Board) is an academic and literary institution of Pakistan, administered by National History and Literary Heritage Division of the Ministry of Information & Broadcasting. Its objective is to edit and publish a comprehensive dictionary of the Urdu language.
Feroz-ul-Lughat Urdu Jamia (Urdu: فیروز الغات اردو جامع) is an Urdu-to-Urdu dictionary published by Ferozsons (Private) Limited. It was originally compiled by Maulvi Ferozeuddin in 1897. The dictionary contains about 100,000 ancient and popular words, compounds, derivatives, idioms, proverbs, and modern scientific, literary ...