Question

so that 7-root5 is irrational give that root 5 is irrational

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Let us assume that 7-√5 is rational . so, it can be expressed as a/b , where a and b are coprimes.

Now,

7-√5 = a/b

7 - a/b = √5

Here , 7, a and b are rationals

But, it is given that √5 is irrational

Therefore, this contradicts our fact that 7-√5 is rational

Hence, 7 -√5 is irrational

Hence prooved

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