#### The decimal expansion of the rational number 33/2^{2}×5 will terminate after

(a) One decimal place

(b) Two decimal places

(c) Three decimal places

(d) Four decimal places

**Solution:**

(b) Two decimal places.

33/2^{2}×5 = 33×5/2^{2}×5^{2} = 33×5/10^{2} – 33×5/100

Since no. of zeros is 2.

#### √10×√15 is equal to

(a) 6√5

(b) 5√6

(c) √25

(d) 10√5

**Solution:**

(b) 5√6 is correct

Hint: √10 × √15

= √2 × √5 × √3 × √5

= 5 × √6

= 5√6

**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).