Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# State the following statement is true or false.Indian mathematicians like Aryabhatt, Brahmagupta, Mahavira, Shridhar have contributed to the field of algebra.A. TRUEB. FALSE

Last updated date: 20th Jun 2024
Total views: 414k
Views today: 12.14k
Verified
414k+ views
Hint: Here we will check for each mathematician Aryabhatt, Brahmagupta, Mahavira, Shridhar and check if they all worked on the field of algebra. We must check the contributions of each of the mathematicians and then check their contributions in Algebra.

* Aryabhatt or Aryabahta was first of the mathematicians and astronomers from the classic age of Indian mathematics. He wrote Aryabhatiya in 499CE when he was 23 years old. The Aryabhatiya mentioned about algebra as he provided results for summation of series of squares and cubes as ${1^2} + {2^2} + ..... + {n^2} = \dfrac{{n(n + 1)}}{2}$ and ${1^3} + {2^3} + ......{n^3} = {(1 + 2 + .....n)^2}$. He gave methods of addition, subtraction multiplication of simple and compound algebraic equations.
* Brahmagupta was a mathematician and astronomer who wrote Brahmasphutasiddhanta in 628CE. He gave the solution of a general linear equation in Brahmasphutasiddhanta stating that a quadratic equation $a{x^2} + bx = c$has solutions $x = \dfrac{{ \pm \sqrt {4ac + {b^2}} - b}}{{2a}}$ and $x = \dfrac{{\sqrt {ac + \dfrac{{{b^2}}}{4}} - \dfrac{b}{2}}}{a}$
* Shridhar was a mathematician and a philosopher who wrote Trisatika which is written in three hundred slokas around 900AD.He gave practical applications of algebra and separated algebra from arithmetic. Also, he was the first person to give roots of quadratic equation by $\dfrac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}$ where the quadratic equation is $a{x^2} + bx = c$.