Learn Ncert All Solutions

from a handpicked tutor in LIVE 1-to-1 classes

from a handpicked tutor in LIVE 1-to-1 classes

# Are there two irrational numbers whose sum and product both are rationals? Justify.

**Solution:**

Let us consider two __irrational numbers__ 3 + √2 and 3 - √2

We know that

Sum of two irrational numbers = 3 + √2 + 3 - √2

= 6

Here 6 is a __rational number__

__Product__ of two irrational numbers = (3 + √2) (3 - √2)

= 9 - 3√2 + 3√2 - 2

= 7

Therefore, there are two irrational numbers whose sum and product both are rationals.

**✦ Try This: **The value of (√26 + √49)/(√8 + √5) is equal to

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.2 Sample Problem 1**

## Are there two irrational numbers whose sum and product both are rationals? Justify

**Summary**:

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. Yes, there are two irrational numbers whose sum and product both are rationals

**☛ Related Questions:**

- There is a number x such that x2 is irrational but x4 is rational. Is the given statement true or fa . . . .
- Let x and y be rational and irrational numbers, respectively. Is x + y necessarily an irrational num . . . .
- Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an examp . . . .

Math worksheets and

visual curriculum

visual curriculum