Which number produces a rational number when added to 0.5? a. –1.73205081… b. 1/4 c. 0.54732871… d. √3

Option B.

Step-by-step explanation:

Rational number: If a number can be written in the form of p/q where, p and q are integers and q≠0, then the number is called a rational number.

For example: 0, 4, 1.2, 6/7 etc.

Irrational number: If a number can be written in the form of p/q where, p and q are integers and q≠0, then the number is called a rational number.

For example: √3, 4.55..., π, etc.

Using these definitions we can conclude that

0.5, 1/4 are rational numbers.

–1.73205081…, 0.54732871.., √3 are irrational numbers.

We know that sum of rational numbers is always a rational number and the sum of a rational and an irrational number is irrational.

It means only 1/4 produces a rational number when added to 0.5.

Therefore, the correct option is B.

answer for #1 is c

answer for #2 is d

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