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