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Find the square of 3 - 2 under root5

Answer»

Step-by-step EXPLANATION: Prove that 3 + 2 root 5 whole SQUARE is irrational. Answer: To Prove : (3 + 2√5)² is irrational No. (3 + 2√5)² = 3² + (2√5)² + 2×3×2√5. = 29 + 12√5. we USE the result that √5 is an irrational no. we know that PRODUCT of rational and irrational no is and irrational no. ⇒ 12 × √5 = 12√5 is an irrational no.



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