Question

Prover that 5+2root7 is an irrational where root7 is given to be an irrational number

Answer 1

Answer:

Given:root2 is irrational

Now,let us assume that 5 +3root2 is rational

So,

5+3root2 = a/b

3root2 = a/b-5 =a-5b/b

Root2 = a-5b/3b

But we know that root2 is irrational

So, our assumption was wrong.

Hence 5+3root2 is irrational.

Hence proved

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Sum of any rational or integer and irrational number is considered as an irrational number. Also, product of any rational and irrational number is also an irrational number.

Therefore, 5+2root7 is considered an irrational number.