Chapter 17: Evolution - Exercises

Extract the required roots of the following expressions:

  1. Find the square root of \(16a^4b^6\)
  2. Find the cube root of \(-27x^3y^9\)
  3. Find the square root of the polynomial: \(x^2 + 6x + 9\)
  4. Find the square root of: \(a^4 - 4a^2b + 4b^2\)
  5. Extract the fourth root of \(81m^8n^{12}\)

Answer Key

  1. \(\pm 4a^2b^3\)
  2. \(-3xy^3\)
  3. \(\pm (x + 3)\)
  4. \(\pm (a^2 - 2b)\)
  5. \(\pm 3m^2n^3\)