Let x = √3 + √5 and y = √8 + √2. Which is greater?
2025
Let x = √3 + √5 and y = √8 + √2. Which is greater?
- A.
x=y
- B.
x>y
- C.
y>x
- D.
Cannot be determined
Attempted by 23 students.
Show answer & explanation
Correct answer: C
x = sqrt3 + sqrt5 is approximately 1.732 + 2.236 = 3.968. y = sqrt8 + sqrt2 is approximately 2.828 + 1.414 = 4.242. Therefore y is greater than x.