Scelta multipla
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and are equal.
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9. Roots, Radicals, and Complex Numbers
Adding and Subtracting Radicals
Scelta multipla
Add or subtract as indicated and simplify.
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Identify the like terms in the expression. Here, all terms have the same radical part, which is the fourth root of \(3y\), written as \(\sqrt[4]{3y}\).
Since the radical parts are the same, you can combine the coefficients (the numbers in front of the radicals) by addition and subtraction.
Write the expression by factoring out the common radical: \(6\sqrt[4]{3y} + 2\sqrt[4]{3y} - 5\sqrt[4]{3y} = (6 + 2 - 5)\sqrt[4]{3y}\).
Add and subtract the coefficients inside the parentheses: calculate \(6 + 2 - 5\) to find the new coefficient.
Write the simplified expression as the product of the resulting coefficient and the common radical \(\sqrt[4]{3y}\).
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