#### A rational number between √2 and √3 is

(a) √2+√3/2

(b) √2×√3/2

(c) 1.5

(d) 1.8

**Solution:**

(c) 1.5, √2 = 1.44, √5 = 1.732

#### The decimal expansion of 2 – √3 is

(a) Terminating and non-repeating

(b) Terminating and repeating

(c) Non-terminating and non-repeating

(d) Non-terminating and repeating

**Solution:**

(c) Non-terminating and non-repeating

**More Solutions:**

- Express the following numbers in the form p/q.
- Classify the following numbers as rational or irrational:
- what can you say about the prime factors of q?
- Insert an irrational number between the following.
- Insert two irrational numbers between 2 and 3.
- Find one rational number between √2 and √3.
- Insert irrational numbers between √5 and √7.
- Simplify the following: (i) √45 – 3√20 + 4√5
- Simplify the following: (i) (5 + √7) (2 + √5).