Surds - Rationalising Denominators
Surds - Rationalising Denominators
TGM Original Questions
Simplify each of the following surds without using a calculator.
- \(\frac{3}{\sqrt{2}-5}\)
- \(\frac{12}{\sqrt{3}-6}\)
- \(\frac{8}{7\sqrt{3}-2}\)
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Answer:(a) \(-\dfrac{3}{23} \left(\sqrt{2} + 5 \right)\) (b) \(-\dfrac{4}{11} \left(\sqrt{3} + 6 \right)\) (c) \(\dfrac{8}{143} \left(7\sqrt{3} + 2 \right)\)
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