Show that 3+5√2 is an irrational number (√2 is an irrational number
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1
Answer:
Is an irrational number
And when we multiply an irrational no. With ration no. It gives an irrational value and when we add irrational to a rational no. It gives irrational value
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Answer:
3+ 5√2 = p/q , where p ,q belongs to integers and q is not equal to zero.
5√2 = p/q - 3
5√2 = p - 3q/q
√2 = p - 3q /q /5
√2 = p - 3q /q (1/5)
√2 = p - 3q /5q
p - 3q /5q is rational number.
√2 rational number
Our assumption√2 is rational number is wrong.
Therefore 3+5√2 is an irrational number.
I hope it will help you mate!
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