Question

Express $8\sqrt{18}$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $b$ is as small as possible.

Answer 1

8 √18 = 8 √(9 × 2)

= 8 √(3² × 2)

= 8 √(3²) √2

= (8 × 3) √2

= 24 √2