Question

Show that 7-√11 is irrational

Answer 1

Answer:

Step-by-step explanation:

We know that rpot 7 is irrational

Also, root 11 is irrational

Therefore root11+root7 will be irrational as sum of two irrationals is always irrational

Hence proved.

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Answer 2

Answer:

7-√11

7-√11= 0

7= √11

7 is a rational no. whereas √11 is an irrational no.

as we all know rational is never equal to irrational

so the above number is an irrational

what is rational number?

those no. which can be return in the form of p/q where q is not equal to zero is called rational no.

ex. 7 can be written in the form of p/q = 7/1 so it is rational

what is irrational number?

Those no. which cannot be return in the form of p/q where q is not equal to zero is called rational no.

ex. root 11 cannot be written in the form of p/q so it is irrational

hence, proved