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Radical Functions

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  • Simplify the following expression.
    (17+7√7)/18
  • Simplify each expression, in simplest radical form.
    m^4 ∜(m^3 )
  • Simplify the following radical.
    -14m^8 n^3 √6n
  • Rewrite in exponential form.
    (7x)^(3/4)
  • Simplify the following radical.
    -10a∛(10a^2 )
  • Rewrite in radical form. Simplify if possible.
    4y^2 √2y
  • What type of solutions would an even index have if the radicand was negative?
    imaginary
  • Give all possible roots to the following radicals.
    17, -17 -5 8, -8
  • Rewrite in radical form. Simplify if possible.
    ∛(a^2 )
  • square roots exponents must be multiples of ____ cube roots exponents must be multiples of ____ 4th roots exponents must be multiples of _____
    square = 2 cube = 3 4th = 4
  • Solve each equation. Check for extraneous solutions.
    n = 14 √15=√15
  • Simplify each expression, in simplest radical form.
    ∜(x^3 )
  • Solve each equation. Check for extraneous solutions.
    m = -8 no solution
  • Simplify the following expression.
    -6+4√2
  • Simplify each expression, in simplest radical form.
    ∜(x^5 )
  • Simplify the following expression.
    -2x^2 y∛6
  • Identify parts of a radical.
    n = index a = radicand √ = radical
  • Simplify the following expression.
    (-2+√10)/8
  • Simplify the following expression.
    9-4√5
  • Simplify each expression, in simplest radical form.
    m^4 ∜(m^3 )
  • Simplify the following expression.
    2∛8-∜7
  • Simplify the following expression.
    4a^2 b^4 √b