Surds - AQA test questions - AQA

1

What is \(\sqrt{32}\) simplified?

2

Simplify \(\sqrt{98}\).

3

A square has an area of 50 cm2.

What is the exact length, in simplified form, of one side of the square?

4

What is \(\sqrt{18} - \sqrt{8}\) simplified?

5

What is \(\sqrt{3} \times \sqrt{12}\) simplified?

6

What is \(3\sqrt{7} - \sqrt{28}\) simplified?

7

What is (√5)2 fully simplified?

8

What is \(\frac{\sqrt{125}}{(\sqrt{18}\:\times\:\sqrt{50})}\) simplified?

9

Simplify \(\frac{2}{\sqrt5}\) by rationalising the denominator.

10

What is (3 + √5)(3 – √5) in its simplest form?