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.
Yes.
No. The square root of negative one is an example of an imaginary (not real) number. Pi is irrational, but real.
The irrational numbers are real numbers. An irrational number is one that cannot be written as a fraction (ie, they have an infinite, non-repeating sequence of decimal places), such as pi. Most square roots are also irrational, like the square root of 2 for example.
Assuming you want an example of one, √10 is an irrational number between 3 and 4. If you want all of them, you're out of luck - there is an infinite number of them.
an irrational number. also called a "surd". like 1+sqrt(5). (sqrt=square root)
No irrational numbers are integers. Pi is one example.
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.
No. For example, 20.5 is irrational; indeed it was one of the first irrational numbers to be discovered.
Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.
Yes.
You can add a small irrational number - smaller than the difference - to one. For example, 1 + pi/4.
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.
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.
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.
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
No. The square root of negative one is an example of an imaginary (not real) number. Pi is irrational, but real.