Question

hey guys........❤❤❤ show that 5√6 is an irrational number??​

Answer 1

Answer:

5√6 is irrational.

Step-by-step explanation:

Let \: us \: assume , \: \\the \: contrary ,\:that \: 5\sqrt{6}\\ \: is \: rational .

i.e., we \: can \: find \\\: co-primes \:a \: and \: b \: (b≠0)\: \\such \: that \:5\sqrt{6}=\frac{a}{b}.

We \: get \sqrt{6}=\frac{a}{5b}.

Since , 5, a and b are integers ,

\frac{a}{5b} \: is \: rational ,and so √6 is rational.

But this contradicts the fact that √6 is irrational.

So, we conclude that 5√6 is irrational.

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Answer 2

Answer:

I posted the pic that will help u......