show that under root 3 + 2 under root 5 is irrational
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Hey... I think this can be ur answer!!
To prove :root3+2root5 is irrational
Let us assume that root 3+2root5 is rational,
root3 +2root5 = a/b (a and b are Co prime)
2root5 = a/b-root3 = a-root3b/b
Root5 = a-root3b/2b
BUT we know that root5 is irrational
So our assumption was wrong
Hence, root3+2root5 is irrational
Hence proved
Hope it helps you dear ☺️☺️
To prove :root3+2root5 is irrational
Let us assume that root 3+2root5 is rational,
root3 +2root5 = a/b (a and b are Co prime)
2root5 = a/b-root3 = a-root3b/b
Root5 = a-root3b/2b
BUT we know that root5 is irrational
So our assumption was wrong
Hence, root3+2root5 is irrational
Hence proved
Hope it helps you dear ☺️☺️
vermaShubham1111:
under root3+2under root 5 h
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