Question

prove that 3+√2 is an irrtional number​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Before proving thus let take root 2 be a rational number and then it can be written in a by b form

Therefore root 2 is equal to a by b.

Now square both sides

Then you will get 2 is equal to a² by b².

Then take b² towards the left means towards 2.

This will give us that a² is factor of root 2

Similarly b² is also factor of root 2

Therefore root 2 has more then

1 factors therefore our consumption went wrong

Therefore root is irrational number

Now according to question 3+ root 2..

Let it be also rational number

Then it can be written in form of a by b

Therefore move 3 to that side and see what you get

Whatever we get at one side there would be root 2 and on other side a rational number.. .....

Therfore we know that root 2 is irrational therefore our consumption again went wrong

Therefore 3 + root 2 is also an irrational number.....

Hope helpful mate❤❤❤❤

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