Which one is greater √7 – √2 or √8 – √3?
WBBSE
Class X
Mathematics
Quadratic Surds
01 Mark
2023
x = √7 – √2
1\over \text{x} = 1\over √7 - √2
= √7 + √2\over 5
y = √8 – √3
1\over \text{y} = 1\over √8 - √3
= √8 + √3\over 5
Clearly, 1\over \text{x} > 1\over \text{y}
or, y > x
or, √8 – √3 > √7 – √2
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