Examine whether the following number is rational or irrational.
(3 + √2)(2 + √3)(3 - √2)(2+ √3)
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irrational
Step-by-step explanation:
(3+√2)(3-√2)(2+√3)^2
=(9-2)(4+4√3+3)
=7(7+4√3)
=49+28√3
[(a+b)^2=a^2+b^2+2ab]
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