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

Question id: 150. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

(a) Without using a calculator, show that \(\sqrt{28}=2\sqrt7\)

The point \(X\) is shown on the unit grid below. The point \(Y\) is \(\sqrt17\) units from \(X\) and lies on the intersection of two grid lines. Mark one possible position for \(Y\).

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