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Q: Are surd's rational

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Roots that are irrational are called surds. There are irrational numbers that are not surds since they are not roots of any equation. For example, Pi. Rational roots, such as square root of 4, are not surds.

That is a rational number. Any numbers that are not rational (irrational) are either repetitive such as 0.3333333.......... or are surds. Since this number is not one of them, it is a rational number.

Surds are normally irrational numbers.

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. Surds are a part of maths, and are the opposite of powers.

Yes. A simple example: sqrt(2)*sqrt(2) = 2 This property is used to "simplify" (rationalise the denominator of) surds.

No. The product of sqrt(2) and sqrt(2) is 2, a rational number. Consider surds of the form a+sqrt(b) where a and b are rational but sqrt(b) is irrational. The surd has a conjugate pair which is a - sqrt(b). Both these are irrational, but their product is a2 - b, which is rational.

Irrational numbers

the limit does not exist

No, surds can never be negative.

Whoever it was who discovered that if you had a square whose sides were one unit long, the lengths of its diagonals were sqrt(2) - surds!

Surds are irrational numbers and 27 is a rational number but if you mean the square root of 27 then it is an irrational number and expressed as a surd it is 3 times square root of 3.

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