[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
If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.
no
Yes
Expressed as a surd in its simplest form, sqrt(522) = 3 sqrt(58). Expressed as a decimal, rounded to two decimal places, √522 ≈ ±22.847Remember, a negative number, when squared is a positive.
A surd in the form a√b cannot, in general, be simplified.
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
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.
That is the only way to write it exactly.
If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.
no
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.
Expressed as a surd in its simplest form, sqrt(75) - sqrt(48) = sqrt(3).
Yes the square root of 2 is a surd which is an irrational number that can't be expressed as a fraction.
yes
Yes
Yes.