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Write the following expression in simplest radical form. (sqrt [3](16v^8))(sqrt [3](1875v^8)) Answer Attemptiout of 2 square

Pergunta

Write the following expression in simplest radical form.
(sqrt [3](16v^8))(sqrt [3](1875v^8))
Answer Attemptiout of 2
square

Write the following expression in simplest radical form. (sqrt [3](16v^8))(sqrt [3](1875v^8)) Answer Attemptiout of 2 square

Solução

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GiovanniMestre · Tutor por 5 anos

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To simplify the given expression, we can use the property of radicals that states the product of two radicals with the same index is equal to the radical of the product of the radicands.<br /><br />So, we can rewrite the expression as:<br /><br />$(\sqrt [3]{16v^{8}})(\sqrt [3]{1875v^{8}}) = \sqrt [3]{(16v^{8})(1875v^{8})}$<br /><br />Simplifying the radicand, we get:<br /><br />$\sqrt [3]{30000v^{16}}$<br /><br />This is the simplest radical form of the given expression.
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