Question

prove that 4+3 root 2 is an irrational number

Answer 1

Answer:

4+3=7

√2=1.414

1.414+7

8.414...

it cannot be written in rational form

Step-by-step explanation:

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Answer 2

Answer:

Let 4+3√2 be a rational number

If it is a rational number then it can be written in p/q form

4+3√2=p/q

3√2=p/q-4

√2=p/(q×3)+4

p/(q×3)+4 is a rational number but √2is a irrational number

This is contradictory

Therefore our assumption that 4+3√2 is a rational number is wrong

Therefore 4+3√2 is an irrational number

Step-by-step explanation:

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