Show that 5 root 6 Is an irrational number - Maths - Real Numbers

Question

Show that 5 root 6 Is an irrational number

Yusra · Answer

Let us assume 5​​√6 as a rational number
Where 5√6= a/ b, a and b are integers and b is not equal
to 0
5√6= a/b
√6 = a/ 5b
As we know √6 Is an irrational number which is not equal
to a/5b, which is a rational number
Therefore, our assumption was wrong, and 5√6 is an
irrational number
Hence shown :)
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Show that 5 root 6 Is an irrational number.