Select the correct description for each number set.(4 points) a) (25−−√, 9, −−−√64−−√ ) b) ( -2.4, 0, 3.1, 81−−√ ) c) (−23, 79, π2 ) d) (12−−√, 11−−√, π )
options:
Only rational numbers
Only irrational numbers
Both rational and irrational numbers
a) Both rational and irrational numbers
b) Both rational and irrational numbers
c) Only rational numbers
d) Both rational and irrational numbers
are you sure
I apologize for any confusion. Let's go through each set again:
a) (25−−√, 9, −−−√64−−√)
- The square root of 25 is 5, which is a rational number.
- The square root of 64 is 8, which is a rational number.
So, set a) contains only rational numbers.
b) (-2.4, 0, 3.1, 81−−√)
- -2.4, 0, and 3.1 are all rational numbers.
The square root of 81 is 9, which is also a rational number.
So, set b) contains only rational numbers.
c) (−23, 79, π2)
- -23 and 79 are both rational numbers.
The symbol "π" represents pi, which is an irrational number.
So, set c) contains both rational and irrational numbers.
d) (12−−√, 11−−√, π)
- The square root of 12 is an irrational number.
- The square root of 11 is an irrational number.
The symbol "π" represents pi, which is also an irrational number.
So, set d) contains both rational and irrational numbers.
Therefore, the correct descriptions are:
a) Only rational numbers
b) Only rational numbers
c) Both rational and irrational numbers
d) Both rational and irrational numbers