Yes
No because it is 3
[square root (78)] squared = 78. There is not a surd from for an integer.
If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.
no
Expressed as a surd, sqrt(90) is equal to 3 sqrt(10).
'pi' is not a 'surd' because it is not a 'square root' of any number. 'pi' is an IRRATIONAL number. Irrational numbers are those were the decimals go to infinity AND the decinal digits are not in any regular order. pi = 3.141592654.... (recur to infinity and no regular order0. 'pi' in surd form is sqrt(pi) = sqrt(3.141592654....) = 1.772453851..... (which is also irrational). In school/college etc., you are given 'pi = 3.14 , 3.1416 , 22/7' Tese are only APPROXIMATIONS for ease of calculating. 'Super Dupa' computers have calculated 'pi' to at least 50 billion places and still going. NB A decimal number such as 1.33333.... is NOT irrational. It is RATIONAL , because it can be converted to a ration/quotient/fraction. Irrational numbers cannot be converted to an exact value 'ratio/quotient/fraction'. Notice the decimal digits are in a regular order of '3'....
No because it is 3
[square root (78)] squared = 78. There is not a surd from for an integer.
If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.
no
Yes the square root of 2 is a surd which is an irrational number that can't be expressed as a fraction.
YES!!! sqrt(8) - 2*sqrt(2) NB '*' means 'Multiply'.
Yes.
Expressed as a surd, sqrt(75) + sqrt(48) = 9 sqrt(3).
Surds are irrational square root numbers that cannot be solved but they can be simplified. For example the square root of 12 can be simplified to 2 times the square root of 3.
The square root of 82 cannot be reduced as a surd.
Expressed as a surd in its simplest form, sqrt(25)/sqrt(3) is equal to 5 sqrt(3)/3.