prove that √2 -√5 is irrational
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here is your answer
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harshgori07:
my sol. is correct
as √2 and √5 are redials and irrationals subtract each other we get irrational..... so it is all ready an irrational .....
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HEYA MATE
We had given to prove √2-√5 as an irrational no.
we know that √2 is irrational no.
and √5 is also an irrational no.
let us assume that √2-√5 is a rational no.
....
but we know that if we subtract an irrational no. from an irrational no. the resultant will also be irrational but it contradict our assumption that √2-√5 is a rational no.
hence our assumption is wrong and
√2-√5 is an irrational no.
.......
.......
hence proved .
HOPE IT HELPS..
:-)
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