Select the correct description for each number set.(4 points)
a) (25−−√, 9, −−−√64−−√)
ONLY RATIONAL NUMBER OR ONLY IRRATIONAL NUMBER OR BOTH RATIONAL & IRRATIONAL NUMBERS
b) ( -2.4, 0, 3.1, 81−−√)
ONLY RATIONAL NUMBER OR ONLY IRRATIONAL NUMBER OR BOTH RATIONAL & IRRATIONAL NUMBERS
c) (−2/3, 7/9, π/2)
ONLY RATIONAL NUMBER OR ONLY IRRATIONAL NUMBER OR BOTH RATIONAL & IRRATIONAL NUMBERS
d) (12−−√, 11−−√, π)
ONLY RATIONAL NUMBER OR ONLY IRRATIONAL NUMBER OR BOTH RATIONAL & IRRATIONAL NUMBERS
a) Both rational & irrational numbers
b) Only rational numbers
c) Only rational numbers
d) Both rational & irrational numbers
are you sure
I apologize for the incorrect response. Let's go through the correct descriptions for each number set.
a) This set includes both rational and irrational numbers. √25 = 5, which is a rational number. √64 = 8, which is also a rational number. However, 9 is a rational number. Therefore, this set includes both rational and irrational numbers.
b) This set only includes rational numbers. -2.4, 0, and 3.1 are all decimal numbers that can be expressed as fractions. 81√ is rationalized form and still a rational number.
c) This set only includes rational numbers. -2/3 and 7/9 are fractions that can be expressed as ratios of integers, and π/2 is a rational number as it can be expressed as a fraction.
d) This set only includes irrational numbers. Both 12√ and 11√ are square roots that cannot be expressed as fractions, making them irrational numbers. π is also an irrational number.