Answer:
firstly assume that 7 is rational
so it can be written in the form of a by b =7 by squaring both the sides a² by b²=49 so so a²= 49b²
so 49 divide by a².
therefore there exist an integer c so a=49c.
similarly b by c = 7 SO by squaring both sides b² by c²=49 so b²=49c².
b=49c
so 7 is a common factor in a and b this contradicts our fact that a and b have no common factor .Hence, our assumption is wrong and 7 is irrational.
Step-by-step explanation:
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Answer:
firstly assume that 7 is rational
so it can be written in the form of a by b =7 by squaring both the sides a² by b²=49 so so a²= 49b²
so 49 divide by a².
therefore there exist an integer c so a=49c.
similarly b by c = 7 SO by squaring both sides b² by c²=49 so b²=49c².
b=49c
so 7 is a common factor in a and b this contradicts our fact that a and b have no common factor .Hence, our assumption is wrong and 7 is irrational.
Step-by-step explanation: