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
Yes. A surd is any irrational number that can be expressed as the root of another number. As pi is a number, although it is a transcendental and hence irrational, the square root of pi is still an irrational number that can be expressed as the square root of another number.
If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.
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..
[square root (78)] squared = 78. There is not a surd from for an integer.
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
Yes.
Yes. A surd is any irrational number that can be expressed as the root of another number. As pi is a number, although it is a transcendental and hence irrational, the square root of pi is still an irrational number that can be expressed as the square root of another number.
No.
If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.
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..
[square root (78)] squared = 78. There is not a surd from for an integer.
Yes the square root of 2 is a surd which is an irrational number that can't be expressed as a fraction.
no
yes
Yes
A surd in the form a√b cannot, in general, be simplified.