Question

Select all the irrational numbers.
A. 16
B. 2
C. 35
D. TT
E. 0.54

Answer 1

The only irrational number in the list provided is the symbol for pi (presumably denoted by 'TT' in this context), as it is the only number that cannot be expressed as a simple fraction and has non-terminating, non-repeating decimal expansion.

Step-by-step explanation:

The question asks to identify the irrational numbers from a given list. Irrational numbers are numbers that cannot be expressed as a simple fraction (i.e., the quotient of two integers). They are non-terminating and non-repeating when written in decimal form.

• 
  
• 16 (Choice A) is not an irrational number; it is a perfect square and can be expressed as 4×4 or 4 squared.
• 
  
• 2 (Choice B) is not an irrational number; it is an integer and can also be represented as 2/1.
• 
  
• 35 (Choice C) is not an irrational number; it is an integer and hence can be expressed as a fraction 35/1.
• 
  
• π (Choice D, assuming 'TT' refers to the symbol for pi) is an irrational number. Pi is a non-terminating, non-repeating decimal which represents the ratio of a circle's circumference to its diameter.
• 
  
• 0.54 (Choice E) is not an irrational number; it is a terminating decimal and can also be represented as the fraction 54/100.

Therefore, the irrational number in the list is the symbol for pi (Choice D).