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Given that √5 is irrational number prove that 2–√15 is irrational number.
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Answer:
√5 is an irrational number
since, the multiplication of an irrational number with a rational number is always irrational,
therefore,
(√5 × 3 )= √15 is an irrational number
since, the subtraction of an irrational number from a rational number is always irrational,
therefore,
2 - √15 is an irrational number
hence, proved.
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