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Prove: 2+4√5 is irrational. Related: Introduction to Trigonometry - I...
Let us assume that the 2+4√5 be a rational number,
so, 2+4√5=P/Q -----(where P and Q are integers)
4√5=P/Q-2
4√5=P-2Q/Q
√5=P-2Q/4Q

here, P and Q are integers so,
P-2q/4Q is a rational number= √5 which is an irrational.

so, aur assumption is contradiction,

2+4√5 is an irrational number.

HENCE PROVED...




Thank you... :-)
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Prove: 2+4√5 is irrational. Related: Introduction to Trigonometry - I...
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