Surds - Equating Rational and Irrational Parts

Surds - Equating Rational and Irrational Parts

Given that \(a\) and \(b\) are integers, find \(a\) and \(b\) in the equation \(\frac{2-3\sqrt{5}}{a-b\sqrt{5}}=9-4\sqrt{5}\).

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs tuition enrolment.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:\(a=-42,\ b=19\)

Need help? Join our IP Math tuition programme.

Learn more