Square root of a rational number

Square root of rational nos

Numbers to remember (Square and square root of a real number )

Which of the following is a correct statement? Sum of two irrational numbers is always irrational Sum of a rational and irrational number is always an irrational number Square of an irrational number is always an irrational number Square of an irrational number is always a rational number Sum of two rational numbers can never be an integer

The square of an irrational number is always rational.

The square of an irrational number is always a rational number

The square root of a negative number is irrational.

Prove that sqrtn , n being not a perfect square, is not a rational number.

find the smallest natural number by which 1200 should be multiplied so that the square root of the product is a rational number