prove that 5 minus root 2 is a rational number
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Answer:
5-root 2 will never be a rational number
Step-by-step explanation:
Answered by
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Step-by-step explanation:
let us consider 5-root 2 is an rational number
where 55-root 2 =p/q where p and q are integers and q not equal to 0 p and q r co prime no
5 -root 2=p/q
5 = p/q+root 2
5 -p/q = root 2
5p -q /q= root 2
we know that 5p -q / is a rational number
but root 2 is an irrational number
there fore 5-root 2 is an irrational number
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