Question

how many irrational numbers lie between√7 and √11

Answer 1

Answer:

There can be infinite numbers of Irrational numbers between √7 and √11.

√7 = 2.6457 and √11 = 3.3166.

Now, we know that a decimal number that is non terminating and non recurring, then it is an irrational number.

Hence, Irrational numbers between √7 and √11 are:-

• 2.7357282728....
• 2.9627383939
• 3.182892920...
• 3.29028499

Hence, there can be infinite Irrational numbers between them.

What is an irrational number ?

A number which cannot be represented in the p by q form where p and q are integers and q is not equal to zero, the number is referred to as an Irrational Number.