Practice questions
Challenge questions
Combine roots with arithmetic, or reverse-engineer a missing value
Word problems
Real-life contexts — read carefully and identify the calculation needed
Square and cube roots
\(\sqrt{n}\) asks: "what number squared gives \(n\)?" \(\sqrt{25}=5\) because \(5^2=25\).
\(\sqrt[3]{n}\) asks: "what number cubed gives \(n\)?" \(\sqrt[3]{27}=3\) because \(3^3=27\).
Only perfect squares/cubes give whole number answers — know them up to \(\sqrt{225}\) and \(\sqrt[3]{216}\).