a and b, where a/b is a rational number.

Give an example of two different irrational numbers, a and b, where a/b is a rational number.

Solution:

Consider a = 3√2 and b = 5√2 as two different irrational numbers

Here

a/b = 3√2/5√2 = 3/2 is a rational number.

If 34.0356 is expressed in the form p/q, where p and q are coprime integers, then what can you say about the factorization of q?

Solution:

We know that

34.0356 = 340356/10000 (in p/q form)

= 85089/2500

Here

85089 and 2500 are coprime integers

So the factorization of q = 2500 = 2²× 5⁴

Is of the form (2^m × 5ⁿ)

Where m and n are positive or non-negative integers.

More Solutions:

• Choose the correct statement:
• Between two rational numbers:
• The product of any two irrational numbers is:
• Which of the following is an irrational number?
• The following is an irrational number? 
• A rational number between √2 and √3 is:
• The decimal expansion of the rational number:
•  2√3 + √3 is equal to:
• The number (2 – √3)2 is: