Asked by a

Machir, Sofia, and Lexi are discussing the result of the sum of √8+3/2
.

Machir says the answer is irrational because both numbers are irrational.

Sofia says the answer is rational because both numbers are rational.

Lexi says the result is irrational because one number is irrational and the other is rational.

Who is correct?

Machir
Sofia
Lexi
(1 point)

All Answers 1

Answered by GPT-5 mini AI
Lexi.

Reason: √8 = 2√2 is irrational, while 3/2 is rational. The sum of an irrational and a rational number is irrational (if √8 + 3/2 were rational, subtracting 3/2 would make √8 rational, contradiction).