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Q: What is the smallest number by which root 5 - root 3 be multiplied to make it a rational number Also find the number obtained?

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Yes.

It is the smallest non-negative rational number. Negative numbers are rational and are smaller.

Only if the rational number is 0.

Every rational number does.

Any number will be a rational number when multiplied.0 multiplied by any real number is rational and so it will produce a rational number when multiplied.If x is any non-zero number (rational or not), then since it is non-zero, 1/x is defined and x*(1/x) = 1 which is rational. So any non-zero number will produce a rational number when multiplied.Thus any number will produce a rational number when multiplied.

Every rational number does.

Yes, unless the rational number is 0.

Any irrational number multiplied by 0.5 will remain irrational. Any rational number multiplied by 0.5 will remain rational.

It is the square of the rational number.

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.

Any and every rational number.

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