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Show that square root of 2 cubed is an irrational number

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Reference no: EM131027511

Problem 1: Prove that there are no integers x, y, and z such that
x^2 +y^2 + z^2 = 999

Problem 2: Show that square root of 2 cubed is an irrational number.

Problem 3: For each of the following pairs a and b, use the division algorithm to find quotient q and remainder r.

(a) b=189, a=17

(b) b=111, a= -5

(c) b= -1029, a=27

(d) b= -111, a= -4

Reference no: EM131027511

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