examine, whether (3+√2) (3-√2) is a rational number or irrational number
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- (3+root 2)(3-root 2)
- (3+root 2) is in the form of (a+b)(a-b)=a^2-b^2
- 3^2-( root2)^2
- 6- 2=4
- 4 is a rational number
- so the given number is also a rational number
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