## Exam-Style Question on Surds## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 502. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is not allowed.

(a) Express \( \sqrt{5} + \sqrt{20} \) in the form \( a \sqrt{5} \) where \(a\) is an integer.

(a) Express \( ( \frac{1}{ \sqrt{5} } ) ^ 9 \) in the form \( \frac{ \sqrt{b}}{c} \) where \(b\) and \(c\) are integers.

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