Question 3 of 5 In which pair do both decimals represent rational numbers?
O A. 0.752 and 0.232323...
OB. 8.3182706837521... and 0.752
O C. 4.32891789376287184... and 0.2323
O D. 8.3182706837521... and 0.232323...

A. 0.752 and 0.232323...

Step-by-step explanation:

A rational number is a number that can be expressed as a ratio. That is, it can be written as a quotient of two integers. A rational number can have a terminating decimal. E.g. 0.5, which can be expressed as ½ or 1:2. This is a terminating decimal. Also, a rational number could be a number that has repeating decimal that keeps repeating forever. E.g. 0.333... which can be expressed as ⅓, or 1:3.

An irrational number is just the opposite of a rational number. Thus, am irrational number cannot be expressed as ratio, and also has a decimal that goes on forever without repeating. For example, π = 22/7 = 3.14159... it has no definite ratio.

From these explanation we can easily pick out which pair that has both decimals representing rational numbers.

Thus, the answer is A. 0.752 and 0.232323...

0.752 is a terminating decimal, therefore it is a rational number.

0.232323... is a non-terminating decimal, however, its decimal is a repeating decimal. Therefore, it is a rational number.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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