Q11 of 114 Page 43

Find the HCF and LCM of 12, 15, 18, 27.

12 = 2 × 2 × 3

15 = 3 × 5

18 = 2 × 3 × 3

27 = 3 × 3 × 3

So HCF = 3

And LCM = product of prime factors with highest powers = 2² × 3³ × 5 = 540

Which of the following number are irrational?

a. b.

c. 3.142857 d.

e. π f.

Prove that (2 +√3) is irrational.

Give an example of two irrationals whose sum is rational.

Give prime factorization of 4620.