Surds

Surds Quiz

Spec B2 · AQA A-Level Maths: Quiz

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5 questions, one answer each

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1. Simplify $\sqrt{75}$ .
- A. $5\sqrt3$
- B. $3\sqrt5$
- C. $25\sqrt3$
- D. $15\sqrt5$
2. Simplify $\sqrt{18}+\sqrt{32}$ .
- A. $\sqrt{50}$
- B. $12\sqrt2$
- C. $7\sqrt2$
- D. $5\sqrt2$
3. Expand and simplify $(2+\sqrt3)^2$ .
- A. $7$
- B. $4+2\sqrt3$
- C. $7+4\sqrt3$
- D. $7+2\sqrt3$
4. Rationalise the denominator of $\dfrac{4}{\sqrt{2}}$ .
- A. $4\sqrt2$
- B. $2\sqrt2$
- C. $\sqrt2$
- D. $2$
5. Write $\dfrac{1}{4-\sqrt{7}}$ with a rational denominator.
- A. $\dfrac{4-\sqrt7}{9}$
- B. $\dfrac{4+\sqrt7}{23}$
- C. $\dfrac{4+\sqrt7}{9}$
- D. $\dfrac{4+\sqrt7}{3}$