Select all irrational numbers.
Responses
316−−√ square root of fraction 3 over 16 end fraction end root
416−−√ square root of fraction 4 over 16 end fraction end root
916−−√ square root of fraction 9 over 16 end fraction end root
34√ square root of fraction 3 over 4 end fraction end root
94√ square root of fraction 9 over 4 end fraction end root

Respuesta :

Answer: To determine the irrational numbers from the given options, we need to understand that irrational numbers cannot be expressed as a fraction of two integers and have non-terminating and non-repeating decimal representations.

- √(3/16): This is an irrational number because when simplified, it cannot be expressed as a fraction of two integers, and its decimal representation is non-terminating and non-repeating.

- √(9/16): This is also an irrational number following the same logic as the previous one.

The other options (√(4/16), √(3/4), √(9/4)) are rational numbers because they can be simplified to fractions of two integers and have terminating or repeating decimal representations.

Therefore, the irrational numbers from the given options are:

- √(3/16) ( ANSWER)

- √(9/16) (ANSWER)

Step-by-step explanation: