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Viva Voce: An Irrational Number | Lab Manuals for Class 9 PDF Download

Q.1. Who showed that corresponding to every real number, there is a point on the real number line and corresponding to every point on the number line, there exists a real number?

Two German Mathematicians named as Centor and Dedekind.


Q.2. Write √45 in mixed surd?

3√5.


Q.3. Can the square root of any natural number be negative?

No


Q.4. Is π a rational number?

No, π is an irrational number.


Q.5. What are real numbers?

The collection of all rational numbers and irrational numbers.


Q.6. What do you mean by surd?

If the positive nth root of a number is an irrational number it is called a surd or radical.


Q.7. Is the square root of -5 is real?

No.


Q.8. Can the sum of two irrational numbers be zero?

Yes, e.g., (2 + √2)+ (-√2 – 2) = 0


Q.9. What do you mean by rational and irrational numbers?

Decimal expansion of rational numbers are either terminating or recurring. Irrational numbers are non-terminating and non-recurring.

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