Question

prove that 5/2√3 is irrational????​

Answer 1

Answer:

We will prove it in a same way as we prove that 3–√ is an irrational number..

Let us assume that (5−23–√)2 is a rational number.

Then (5−23–√)2=pq where p and q are co-prime.

=> 25−2×5×23–√+(23–√)2=pq [by using (a−b)2=a2−2ab+b2

25−203–√+4×3=pq

25−203–√+12=pq

37−203–√=pq

37+pq=203–√

3720+p20q=3–√

Clearly L.H.S. is a sum of two rational number and therefore L.H.S is rational.

So 3–√ is a rational number.

But we know that 3–√ is an irrational number.So our assumption is wrong.

Hence (5−23–√)2is an irrational number.

Answer 2

Answer:

please give me your number.