Question

Prove that 4√7 is an irrational number.​

Answer 1

Step-by-step explanation:

Let, 4√7 is a rational number which is in the form of p/q in which p and q are

co-primes.

4√7=p/q

√7=p/q/4

√7 is a irrational number

p/q/4 is a rational number

We know that,

rational is not equal to irrational

therefore.....

4√7 is a irrational number.

It is a contradiction due to the wrong assumption that 4√7 is a rational number.

so therefore we can say that 4√7 is an irrational number

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Answer 2

Answer:

Step-by-step explanation:Let, 4√7 is a rational number which is in the form of p/q in which p and q are

co-primes.

4√7=p/q

√7=p/q/4

√7 is a irrational number

p/q/4 is a rational number

We know that,

rational is not equal to irrational

therefore.....

4√7 is a irrational number.

It is a contradiction due to the wrong assumption that 4√7 is a rational number.

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