Q#3 Radicals and Rational Exponentss

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What is a radical?

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A radical is an expression that includes a root, such as a square root (√) or cube root (∛). For example, √x is a radical.

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What is a rational exponent?

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A rational exponent is an exponent that is a fraction. For example, x^(1/2) is equivalent to √x.

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What is the relationship between radicals and rational exponents?

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Radicals can be expressed as rational exponents. For example, @@ oot[n]{x} = x^{1/n} @@.

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How do you simplify @@ rac{1}{ oot[3]{x^6}} @@?

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What does @@ oot[4]{ oot[3]{x^{48}}} @@ simplify to?

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What is the cube root of a number?

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The cube root of a number x is a value that, when multiplied by itself three times, gives x. It is denoted as @@ oot[3]{x} @@.

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How do you express @@ oot[3]{n^6 + 5} - 2 = (n^6 + 5)^{-1} - 2 @@?

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This equation can be solved by isolating the radical and simplifying both sides.