√2-√3 is a irrational number prove it
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Let √2 + √3 = (a/b) is a rational no.
On squaring both sides , we get 2 + 3 + 2√6 = (a2/b2)
So,5 + 2√6 = (a2/b2) a rational no.
So, 2√6 = (a2/b2) – 5
Since, 2√6 is an irrational no. and (a2/b2) – 5 is a rational no.
So, my contradiction is wrong. So, (√2 + √3) is an irrational no.
Hope it helps and Mark as brain.......
On squaring both sides , we get 2 + 3 + 2√6 = (a2/b2)
So,5 + 2√6 = (a2/b2) a rational no.
So, 2√6 = (a2/b2) – 5
Since, 2√6 is an irrational no. and (a2/b2) – 5 is a rational no.
So, my contradiction is wrong. So, (√2 + √3) is an irrational no.
Hope it helps and Mark as brain.......
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