Question

Prove that √3 is an irrational number.

Prove that √2 is an irrational number.

The factor tree of a number x is shown below : Find the values of x, y, a and b. Hence, write the product of the prime factors of the number x so obtained.

If the number aⁿ, where n is a natural number, always ends with digit a, then the possible value of 'a' is :

Assertion (A) : The prime numbers which divide 36 also divide 6. Reason (R) : Any number which divides p² also divides p.