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Q: Can you give one example for surd which is not irrational?

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an irrational number. also called a "surd". like 1+sqrt(5). (sqrt=square root)

No irrational numbers are integers. Pi is one example.

No- integers are a kind of rational number and are not irrational. One well-known example of an irrational number is the square root of 2.

No. For example, 20.5 is irrational; indeed it was one of the first irrational numbers to be discovered.

Yes.

Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.

How one understands surds depends on the person. If you would like to know what surds are, or have help understanding surds A surd is an unresolved radical, meaning that it is a root with the radical sign still on it. It is easier (and more accurate) to express it this way than writing it out for many numbers if the root is irrational. The concept of irrational numbers (which is what surds are, usually) can be confusing. In short, they are numbers that are not rational, that is, they cannot be written as a fraction. When using surds in math, you treat them just as you would a written out number.

You can add a small irrational number - smaller than the difference - to one. For example, 1 + pi/4.

It means that it is an exponent, and that it is not a rational number - i.e., one that can be written as a fraction of two integers.

No. The square root of negative one is an example of an imaginary (not real) number. Pi is irrational, but real.

Suppose A = 2 + sqrt(3) and B = 5 - sqrt(3) Then A and B are two irrational numbers but A + B = 2 + sqrt(3) + 5 - sqrt(3) = 7 which is rational.

To 4.5, add the difference between the two numbers (0.1), multiplied by some irrational number that is less than 1 (or divided by an irrational number greater than 1). For example:4.5 + 0.1 / pi

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