0
A surd is when an irrational number (a non square number under a square root sign) is simplified for accuracy and ease of legibility.
E.G:
√5 x √2 = √10There are no such rational numbers as Square root of five or two so when we multiply them (as shown in the exampke above) we show the answer in surd form for simplicity, accuracy and legibility.
When we can't simplify a number to remove a square root (or cube root etc) then it is a surd. Example: √2 (square root of 2) can't be simplified further so it is a surd.
"Surd" used to be another name for "Irrational", but it is now used for a root that is irrational.
Around 820 AD al-Khwarizmi (the guy whom we get the name "Algorithm" from) called Irrational Numbers "'inaudible" ... this was later translated to the Latin surdus ("deaf" or "mute")
A surd is an irrational root of a rational polynomial equation.
A rational polynomial equation is of the form
a(n)*x^n + a(n-1)*x^((n-1) + ... + a(1)*x + a(0) = 0
where the a(k) are rational constants.
A root of that polynomial is a value of x for which the equation is true.
The roots may be rational, irrational or complex numbers (in conjugate pairs).
So 2+ sqrt(3) or
7.3 + sqrt(2 + cuberoot(5.9)) are surds.
However, transcendental numbers, such as pi or e, while irrational, are not solutions to polynomial equations and so are not surds.
Add your answer:
Earn +20 pts
Is 5 a surd?
Yes it is a surd
What is a square root of surd?
If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.
Why pi is not a surd?
A surd is the square root of an integer (whole number), e.g. square root of 2 is a surd. Pi is not the square root of an integer so not a surd, just an irrational number
Cube root of 7 is a surd but is cube root of negative seven a surd?
I am pretty sure that the cube root of negative seven is a surd. I checked on the calculator.......and it showed a negative number.....??I think when it is not a surd...it's supposed to say error, so the number probably means that it is a surd..
Is 625 a surd?
no
Is 5 a surd?
Yes it is a surd
What is a square root of surd?
If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.
Why pi is not a surd?
A surd is the square root of an integer (whole number), e.g. square root of 2 is a surd. Pi is not the square root of an integer so not a surd, just an irrational number
Cube root of 7 is a surd but is cube root of negative seven a surd?
I am pretty sure that the cube root of negative seven is a surd. I checked on the calculator.......and it showed a negative number.....??I think when it is not a surd...it's supposed to say error, so the number probably means that it is a surd..
Is there a law that you divide the surd index of a surd with a real no?
No. It is not a criminal or civil offence!
Is pi a surd?
No.
Who invented surd's?
i did
What is an infinite surd?
Infinite surd is a term used in mathematics. The definition of an infinite surd is a never ending irrational number with an exact value that would be left in square root form.
How do you simplify a surd in the form A square root B?
A surd in the form a√b cannot, in general, be simplified.
How do you divide by a surd?
algebra
Is 625 a surd?
no
What is square root 78 then squared in surd form?
[square root (78)] squared = 78. There is not a surd from for an integer.
