show log 7 as irrational using contradiction method
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root 7=a/b
- add square
7 =(a/b)²
- cross multiply
7b²=a²
- again cross multiply
b²=a²/7
if a² is dividend by 7 then a is also divided 7 according to theorem
take the value for a²=7k
then
b²=(7k)²/7
cross multiply
7b²=49k²
transfer
7b² /49=k²
b²/7 =k²
b² is divided by 7 then b is also divided 7
hope it helps!!
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