Write the following real numbers in decending order:

Solution:

We know that

√2 = √2

3.5 = √12.25

√10 = √10

Writing the above numbers in descending order

√18.75, √12.25, √10, √2, – √12.5

So we get

5/2 √3, 3.5, √10, √2, -5/√2

Find a rational number and an irrational number between √3 and √5.

Solution:

Let (√3)² = 3 and (√5)² = 5

(i) There exists a rational number 4 which is the perfect square of a rational number 2.

(ii) There can be much more rational numbers which are perfect squares.

(iii) We know that

One irrational number between √3 and √5 = ½ (√3 + √5) = (√3 + √5)/ 2

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: