The polynomial x^2 - 2 has no root in which set?
AComplex numbers
BReal numbers
CRational numbers
DAlgebraic numbers
Answer & Solution
Correct answer: C. Rational numbers
Its roots are plus and minus the square root of 2, which is irrational, so no rational number solves it.
Keep practising Complex Numbers and Quadratic Equations
Browse all Complex Numbers and Quadratic Equations questions for MHT-CET, or explore more Mathematics topics.
Related questions
What is the real part of (2 + i) squared?Evaluate (2 + 3i)(1 - i) and write the result in the form a + bi.Adding two complex numbers on the plane gives the fourth vertex of which shape?Geometrically, multiplying by a complex number does what to the plane?The complex numbers form a real vector space of what dimension?The roots of x^2 + 2x + 5 = 0 are which pair?The equation x^2 + 4 = 0 has no real root. What are its complex roots?Which number set contains a root of every non-constant polynomial equation?