Question

Show that 2√3 is irrational.​

Answer 1

Answer:

Rational numbers can be written in the form pq where p and q are integers and q≠0.

Now, given number is ,

23–√=23–√∗3–√3–√=63–√

So, it is in pq form and q≠0.

But, as q is not an integer,

given number is not a rational number.

Hence, 23–√ is an irrational number.

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