Choose the correct description of the number set.(4 points)

(-7.4, 0, 3.232323..., √25 ) -
(√8 , √9 , √10 ) -
(√2 , √5 , 𝛑 ) -
(-⅚ , ⅞ , π/2 ) -

rational numbers only
irrational numbers only
both rational and irrational numbers

1 answer

The correct description of the number set for each option is as follows:

(-7.4, 0, 3.232323..., √25 ) -
Both rational and irrational numbers. This set contains both decimal numbers (which can be rational or irrational) and the square root of 25 which is rational (equal to 5).

(√8 , √9 , √10 ) -
Both rational and irrational numbers. The square root of 8 and 9 are rational (equal to 2√2 and 3, respectively), while the square root of 10 is irrational.

(√2 , √5 , 𝛑 ) -
Both rational and irrational numbers. The square root of 2 and 5 are both irrational, while 𝛑 (pi) is also irrational.

(-⅚ , ⅞ , π/2 ) -
Both rational and irrational numbers. -⅚ and ⅞ are rational numbers, while π/2 (pi divided by 2) is irrational.
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