We’ve also posted an excerpt here, in this post. Enjoy!
First of all, understand that roots are a subset of exponents i.e. any number with any root can be converted to an exponent. Every rule of exponent that we have learned until now will then be applicable.
The rules for exponents are the same whether we have an integer as the exponent or a fraction. Therefore, if you think that roots are a nightmare but exponents are fine, just convert the roots to exponents form and the question becomes utterly do-able. But, when you take that route, it takes far too much extra time. So, it makes sense to review the rules of roots (which are very similar to the rules of exponents).
Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep in Detroit, and regularly participates in content development projects such as this blog!