Which number produces a rational number when added to 0.5? A. –1.73205081… B. 1/4 C. 0.54732871… D. √3

Answer:Option B is correct 1/4.Step-by-step explanation:To find : Which number produces a rational number when added to 0.5?Solution :A rational number is defined as number written in simple fraction or in p/q form.An irrational number is defined as number which cannot be written in p/q form.We know that,A rational number adding a rational number gives you a rational number.A rational number adding an irrational number gives you a irrational number.Now we take each option and check.Option A : -1.73205081…Number has no end and have infinite number of digits so it is irrational number.No, this number not produce a rational number.Option B : 1/4=0.25Number is in form p/q so it is rational number.Yes, this number produce a rational number.0.25+0.5=0.75 a rational number.Option C : 0.54732871…Number has no end and have infinite number of digits so it is irrational number.No, this number not produce a rational number.Option D : \sqrt{3}\sqrt{3} cannot be written in ratio so it is irrational number.No, this number not produce a rational number.