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6+√5is a irrational number prove

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6+√5is a irrational number prove

Posted by Sakshi Singh 4 years, 6 months ago

CBSE > Class 10 > Mathematics

4 answers

Adithya Dev A 4 years, 5 months ago

Prove √5 is irrational (in short steps). Then, as sum of rational number (6) and irrational number (√5) is always irrational, 6 + √5 is also irrational.

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Rohit Saini 4 years, 6 months ago

Hlo Sakshi singh

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Rohit Saini 4 years, 5 months ago

Hlo

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Aakash Anand 4 years, 6 months ago

If possible let 6+√5 is a rational number...... Let 6+√5 =a/b {a and b is co- prime number } # 6+√5 a/b # √5 = a/b - 6 # √5 = a -6b / b # products of rational is always rational # a- 6b is a rational number # √5 is a rational number # But we know that √5 is an irrational number # so it contradict the fact so our is asumalt is wrong...... ................ Aakash Anand ?

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