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If x – √3 – √2 = 0 and y – √3 + √2 = 0, then the value (x3 - 20√2) - (y3 + 20√2) is
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- 0
- 1
- 3
- 2
- 0
Correct Option: A
x – √3 – √2 = 0
⇒ x = √3 + √2
Again,
y – √3 + √2 = 0
⇒ y = √3 - √2
∴ x – y = √3 + √2 - √3 + √2 = 2√2
and xy = (√3 + √2)(√3 - √2) = 3 – 2 = 1
∴ Expression = x3 - 20√2 - y3 - 2√2 = x3 - y3 - 22√2
Expression = (x - y)3 + 3xy(x – y) – 22√2
Expression = (2√2)3 + 3(2√2) – 22√2 = 16 √2 + 6 √2 - 22 √2 = 0
