Question

Prove that 7√5 is irrational.

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Answer 1

Answer:

To prove: 7✓5 is irrational

7✓5=a/b (where a and b are co prime)

✓5=a/b*1/7

✓5=a/7b

here a/7b is rational but ✓5 irrational

This is a contradiction

therefore our assumption is wrong and 7✓5 is irrational... hence proved

Step-by-step explanation:

hope it helps u

Answer 2

Answer:

To prove that 7√5 is irrational.

Let assume that 7√5 is a rational number

Hence 7√5 can be written in the form of a/b

where 7√5=a/b ( are co prime)

7√5=a/b

√5=a/7b

But here √5 is irrational and a/7b is rational

as this is a contraction

so 7√5 is a irrational number.