Question

show that 2 root 3 /5 is irrational number​

Answer 1

Answer:

see Let 2root 3 / 5 be a rational no. in the form a/b where, a and b are integers. ... But this contradicts tha fact that root3 is a rational no. So, our assumption is wrong and hence 2root3 / 5 is an irrational no

Step-by-step explanation:

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Answer 2

Answer:

Now,

2 root 3/5= a/b

2 root 3= 5a/b

root 3 = 5a/b

Hence, since a/b is a rational number, so 5a/2b is also a rational number.

But this contradicts that fact that root 3 is a rational number.

so, our assumption is wrong and hence 2 root 3/5 is an irrational number.