Surds, roots and irrational numbersIB MYP Maths Standard: Mind map

Exam questions on Surds, roots and irrational numbers

1. A square tile has an area of $50$ cm$^2$.
   Show that the diagonal of the tile is $10$ cm.2 marks
2. Consider the numbers $\sqrt{18}$ and $\sqrt{8}$.
   Show that $\sqrt{18}-\sqrt{8}=\sqrt{2}$.2 marks
3. A rectangle has length $(3+\sqrt5)$ cm and width $(3-\sqrt5)$ cm.
   Find the exact area of the rectangle.3 marks