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It is impossible to have a surd that is not irrational.

Surds are defined to be an irrational number (square root of a number).

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Q: Can you give one example for surd which is not irrational?
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If one adds a rational number and an irrational number what type of number results?

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


What is an irrational number but not an integer?

No irrational numbers are integers. Pi is one example.


How do you understand Surd's in maths?

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.


If a is rational and b is rational is a to the b power is rational?

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


Does an irrational number times an irrational number equal an irrational number?

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


Is one divide by square root of three a surd?

Yes.


What is an irrational number between one and two?

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


Give one example for if you add two irrational number and answer should get in rational number?

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.


What is an irrational exponent?

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.


What are examples of irrational numbers?

An example is the square root of a number. Ex: square root of 2. This is 1 example, not the main one. Any cube root or square root which doesn't give a perfect number is an irrational number. Ex; square root and cube root of 5, since their answer will be 2.24 and 1.70 which are not perfect numbers like square roots of 25 and 64 or cube roots of 27 and 216.


What is a irrational number between 4.5 and 4.6?

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


Is pi an Example of a number that is not real?

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