In algebra, the rational root theorem (or rational root test, rational zero theorem or rational zero test) states a constraint on rational solutions (or roots) of a polynomialequation
with integer coefficients.
If a0 and an are nonzero, then each rational solution x, when written as a fraction x = p/q in lowest terms (i.e., the greatest common divisor of p and q is 1), satisfies
The rational root theorem is a special case (for a single linear factor) of Gauss's lemmaon the factorization of polynomials. The integral root theorem is a special case of the rational root theorem if the leading coefficient an = 1.
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The square root of 48 is a rational or irrational
The square root of 29 is an irrational number.
Yes, it is the principal square root of 4, and it is rational.
Yes because the square root of 4 is 2 which is a rational number
It is a rational number because the square root of 64 is 8 which is a rational number