To make √2 a rational number, we need to multiply it by another number that is also a square root of a rational number. In this case, we can multiply √2 by √2 to get 2, which is a rational number. Therefore, the smallest number we should multiply with √2 to make it a rational number is √2 itself1.
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[tex] \sqrt{2 \: \\} \\ is \: the \: smallest \: number \: that \: should \: be \: multiplied \: with \: \sqrt{2 \:} \: to \: get \: a \: rational \: number \\ \sqrt{2 } \times \sqrt{2} = { \sqrt{2} }^{2} \\ = 2 \\ and \: 2 \: is \: a \: rational \: number[/tex]
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Answer:
To make √2 a rational number, we need to multiply it by another number that is also a square root of a rational number. In this case, we can multiply √2 by √2 to get 2, which is a rational number. Therefore, the smallest number we should multiply with √2 to make it a rational number is √2 itself1.
I hope that helps! Let me know if you have any other questions.
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Hope this may help you
Step-by-step explanation:
[tex] \sqrt{2 \: \\} \\ is \: the \: smallest \: number \: that \: should \: be \: multiplied \: with \: \sqrt{2 \:} \: to \: get \: a \: rational \: number \\ \sqrt{2 } \times \sqrt{2} = { \sqrt{2} }^{2} \\ = 2 \\ and \: 2 \: is \: a \: rational \: number[/tex]