No because 2+7 = 9 which is a rational number
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Yes the result would be an irrational number.
4*sqrt(2) Rational multiples of irrational numbers are irrational. sqrt(2) is about 1.414, and 5/4 = 1.25 < 1.414... < 1.75 = 7/4 so 4*sqrt(2) is between 5 and 7, and is irrational.
No. A rational plus an irrational is always an irrational.
irrational
7 + 5 + 4 ÷ 2 + 7 = 21