Rationalising denominators Quiz

1. Rationalise $\frac{10}{\sqrt5}$.

• A. $10\sqrt5$
• B. $5\sqrt2$
• C. $2\sqrt5$
• D. $\frac{2}{\sqrt5}$

2. Rationalise $\frac{1}{1+\sqrt3}$.

• A. $\frac{\sqrt3-1}{2}$
• B. $\frac{1-\sqrt3}{2}$
• C. $\frac{\sqrt3-1}{4}$
• D. $\sqrt3-1$

3. Rationalise $\frac{3}{2-\sqrt5}$.

• A. $6+3\sqrt5$
• B. $3\sqrt5-6$
• C. $\frac{6+3\sqrt5}{9}$
• D. $-6-3\sqrt5$

4. Expand and simplify $(2+\sqrt3)(2-\sqrt3)$.

• A. $7$
• B. $1$
• C. $4$
• D. $-1$

5. Simplify $\sqrt{27}+\sqrt3$.

• A. $\sqrt{30}$
• B. $3\sqrt6$
• C. $4\sqrt3$
• D. $10\sqrt3$