show that 3√5+2 is an irrational number
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Answer:
To prove:3 + 2√5 is an irrational number. Proof: Letus assume that 3 + 2√5 is a rational number. This shows (a-3b)/2b is a rational number.
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A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. ... Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational.
The answer must be non integer therefore it is a irrational number
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