SEAMO 2027 - Paper D - SET 10 - Self-study Question 1

SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.

Find the value of $\sqrt[3]{\sqrt{30}-\sqrt3}\times\sqrt[3]{\sqrt{30}+\sqrt3}$.