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Marta_Voda [28]
2 years ago
9

Sqrt(32x^3) - sqrt(16x^3) + root(4,x^3) -sqrt(2x^3)

Mathematics
1 answer:
almond37 [142]2 years ago
7 0

An expression is defined as a set of numbers, variables, and mathematical operations. The simplified version of the given expression is (3√2-2)√x³.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression \sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3} can be simplified as shown below.

\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}\\\\=\sqrt{x^3}(\sqrt{32}-\sqrt{16}+\sqrt{4}-\sqrt{2}})\\\\= \sqrt{x^3} (4\sqrt{2}-4+2-\sqrt2)\\\\= \sqrt{x^3} (3\sqrt{2}-2)

Hence, The simplified version of the given expression is (3√2-2)√x³.

Learn more about Expression:

brainly.com/question/13947055

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