Question

classify the following numbers as rational or irrational:(3+√3)(3-√3).
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Answer 1

Answer:

rational

Step-by-step explanation:

we know that,

(a+b)(a-b)=a²-b²

so, here,

(3+√3)(3-√3)

=3²-(√3)²

=9-3

=6

which is rational

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Answer 2

Answer:

Rational

Step-by-step explanation:

(3+√3)(3-√3) is of the form (a+b)(a-b) = a^2-b^2

therefore, (3+√3)(3-√3) = 3^2-√3^2

= 9-3=6

which is a rational number