How many irrational numbers are there between 1 and 6 ?
f. 1
g. 3
h. 4
j. 10
k. infinitely many

Irrational numbers are numbers that cannot be expressed or represented as a ratio of two integers. Thus, the answer is K. Infinite many because there are infinite numbers that can be found between numbers 1 to 6; numbers that cannot be expressed as repeating decimals or so.

Think that between numbers 1 to 2 , there are many irrational numbers between same in numbers 2 to 3 , 3 to 4, 4 to 5 and 5 to 6.
Thus, There are infinite numbers of irrational number between numbers  1 to 6

K. Infinitely many

Hello!
your answer should be c