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Prove that 3+ root2, 5+root2 and 3+5root2 are irrational numbers. |
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Answer» Step-by-step explanation: 3+ √2 , 5 +√2 , 3+5√2 are Irrational Numbers whose proof is GIVEN below :- Proof No. (1) we know that √2 = 1.414....... is Irrational. Then, 3+√2 = 3+1.414...... = 4.414......(Irrational) 5+√2 = 5+1.414..... = 6.414.....(Irrational) 3+5√2 = 3+5 x 1.414...... = 3+7.07..... = 10.07.......(Irrational) Proof No. (2) According to The addition of Rational and Irrational, Sum of an Rational and Irrational is always an Irrational.so, According to that all the EQUATIONS are Irrational. I m very HAPPY to help you out. Take some time to Mark it as The BRAINLIEST Answer If it HELPS And That WOULD really make Me Happy and My explaination successful ! Have A good Day Buddy :) |
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