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## February 06, 2012

### New formula of cube root found by an Indian mathematician!

From many centuries since the evolution of mathematics, we've studied many formulas & till today we know many interesting mathematical formulas. One among those formulas is very well known formula of cube root. Is there a new way to calculate a number's cubed root? It has eluded experts for centuries, but now an Indian, following in the footsteps of Aryabhatt, one of the first line of great mathematician-astronomers from the classical age of Indian mathematics & Indian astronomy, claims to 've worked out a simple formula to find any number's cube root.

Mr. Nirbhay Singh Nahar, a retired chemical engineer & an amateur mathematician, claims he has found a formula that will help students & applied engineers to work out the cube roots of any number in a short time. Nahar has developed an algorithm to calculate the cube root of any number. Given an equation stating y = x3, Nahar's method would solve for x =  y1/3  without the need to refine repeated approximations.

Nahar, who retired as an engineer from Hindustan Salts Ltd at Sambhar (Rajasthan), confidently said, "Give me any number - even, odd, decimals, a fraction...& I'll give you the cube root using a simple calculator to just add & subtract within a minute & a half. We do've methods & patterns, but no formula at the moment. Even the tables give cube roots of 1 to 1,000, not of fractions or of numbers beyond 1,000 for which people 've to use scientific calculators."

It's been four years, thousands of sums, a lot of painstaking research & total devotion led him to develop the formula which he has now copyrighted. "I'm willing to be scrutinised & investigated by anyone in the world, & to demonstrate but I'll not disclose the formula till it's patented because I want the credit for my work to go to India, my country," Nahar proudly added.

Nahar, who sent his findings to research journals but got no response, said he'll soon write to the Prime Minister requesting him to arrange a meeting between him & the world's top mathematicians. "Only when I get recognition for my formula named NAHNO (Nah stands for Nahar & NO for number) will I disclose my formula," said Nahar.

The cube root of a number is a figure, which multiplied by itself thrice gives the larger number. Many complex & multi-staged methods are available to crack cube roots, but they are time-consuming & cumbersome. On a standard calculator, one has to go through half a dozen steps before getting the answer.

Mathematicians down the ages've all tried to get a simple formula which gives a precise answer, but it has eluded'em. While Newton's formula arrives at an approximation, Nahar claims his formula leads to direct & perfect value, & without approximation.

Nahar said, "So far no one has been able to do it. Cube roots are a very complicated game. People 've been coming out with solutions. But in 5,000 years no one has been able to discover a workable formula for cube roots. My formula will make history & add to India's mathematical genius."

Mathematics is not his profession nor did he take any formal training in the discipline. He stumbled on the idea while helping his grandchildren with their homework. "It was me & the complicated arithmetic sums. In six months I found the formula which does not require use of scientific calculators," said Nahar.

Nahar said he had read both Western & Vedic mathematics & consulted all authorities on the subject. If proved right, he'll follow in the illustrious footsteps of 5th century mathematician Aryabhatta, who was known for his work in astronomy, arithmetic, algebra & trigonometry. It's said that his book helped European mathematicians learn how to calculate the areas of triangles, volumes of spheres as well square & cube roots.

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