Q.1. Is it possible that we make a square root spiral of negative nymbers?
No
Q.2. Can we represent the reciprocal of zero on the number line.
No, because reciprocal of zero is undefined term, so we cannot represent on number line.
Q.3. In which triangle, Pythagoras theorem is applicable?
Right angled triangle
Q.4. How many rational and irrational numbers lie between any two real numbers?
There are infinite rational and irrational numbers lie between any two real numbers.
Q.5. Define an irrational number.
A number which cannot be expressed in the form of p/q, where q ≠ 0 and p, q are integers, is called an irrational number.
Q.6. In a square root spiral, is it true that in each square root of natural number is equal to the square root of the sum of 1 and previous natural number (> 1)?
Yes
Q.7. Give some examples of irrational numbers.
Some examples of irrational numbers are √5, 3 – √7,2π, etc.
Q.8. Is it possible to represent irrational numbers on the number line?
Yes, as we know that each point on the number line represent a real number (i.e. both rational and irrational), so irrational number can be represented on number line.
Q.9. Define a real number.
A number which may be either rational or irrational is called a real number.
Q.10. Define a rational number.
A number which can be expressed in the form of p/q, where q ≠ 0 and p, q are integers, is called a rational number.
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