by taking a single equation show that the sum and product of two irrational numbers may not be irrational numbers.

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Solution

Dear Student,

Given two irrational numbers are 7 + √5 and 7 - √5.

Sum = 7 + √5 + 7 - √5 = 14 is a rartional number.

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Similar questions

Can u give an example to show that the product of a rational number and an irrational number may be a rational number?

State, in each case, whether the given statement is true or false.

(i) The sum of two rational numbers is rational.

(ii) The sum of two irrational numbers is irrational.

(iii) The product of two rational numbers is rational.

(iv) The product of two irrational numbers is irrational.

(v) The sum of a rational number and an irrational number is irrational.

(vi) The product of a nonzero rational number and an irrational number is a rational number.

(vii) Every real number is rational.

(viii) Every real number is either rational or irrational.

(ix) $π$ is irrational and $\frac{22}{7}$ is rational.

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