Question

Write weather 2√45+3√20/2√5 on simplification gives a rational or irrational number.

Answer 1

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245‾‾‾√+320‾‾‾√25‾√=65‾√+3245+32025=65+3 is Irrational and

245‾‾‾√+320‾‾‾√25‾√=6245+32025=6 is Rational

whether you simplify or not.

Note that neither of the above strictly apply those barely useful mnemonicsfor order of operations. Strict application would result in:

245‾‾‾√+320‾‾‾√25‾√=65‾√+15245+32025=65+15 which is Irrational.

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