prove that 2 root 3 is irrational number
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Heya!!Here is your answer friend ⤵⤵
To prove = 2√3 is an irrational number.
We shall prove this by the method of contradiction .
so let us assume to the contrary that 2√3 is a rational number =r
2√3=r
√3=r/2
Now we know that √3 is irrational number.
SO, r/2 has to be irrational to make the equation true .
This is a contradiction to our assumption . Thus our assumption is wrong .
Therefore,2√3 is irrational .
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Hope it helps you ✌✌
To prove = 2√3 is an irrational number.
We shall prove this by the method of contradiction .
so let us assume to the contrary that 2√3 is a rational number =r
2√3=r
√3=r/2
Now we know that √3 is irrational number.
SO, r/2 has to be irrational to make the equation true .
This is a contradiction to our assumption . Thus our assumption is wrong .
Therefore,2√3 is irrational .
↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔
Hope it helps you ✌✌
Gayathriraj:
thank u
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