How do you combine $\frac{w}{5} \sqrt[3]{- 64} + \frac{\sqrt[3]{512 w^{3}}}{5} - \frac{2}{5} \sqrt{50 w} - 4 \sqrt{2 w}$ $\frac { w } { 5} root3(-64) + root3{ 512w ^ { 3 } } / { 5} - \frac { 2} { 5} \sqrt { 50w } - 4\sqrt { 2w }$ into a single term, if possible?

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How do you combine $\frac{w}{5} \sqrt[3]{- 64} + \frac{\sqrt[3]{512 w^{3}}}{5} - \frac{2}{5} \sqrt{50 w} - 4 \sqrt{2 w}$ $\frac { w } { 5} root3(-64) + root3{ 512w ^ { 3 } } / { 5} - \frac { 2} { 5} \sqrt { 50w } - 4\sqrt { 2w }$ into a single term, if possible?

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Answer 1 · 2017-06-30T06:01:50

$\frac{w}{5} \sqrt[3]{- 64} + \frac{\sqrt[3]{512 w^{3}}}{5} - \frac{2}{5} \sqrt{50 w} - 4 \sqrt{2 w} = \frac{4 w}{5} - 6 \sqrt{2 w}$ $w/5root(3)(-64)+root(3)(512w^3)/5-2/5sqrt(50w)-4sqrt(2w)=(4w)/5-6sqrt(2w)$

Explanation:

$\frac{w}{5} \sqrt[3]{- 64} + \frac{\sqrt[3]{512 w^{3}}}{5} - \frac{2}{5} \sqrt{50 w} - 4 \sqrt{2 w}$ $w/5root(3)(-64)+root(3)(512w^3)/5-2/5sqrt(50w)-4sqrt(2w)$

= $\frac{w}{5} \sqrt[3]{(- 4) \times (- 4) \times (- 4)} + \frac{\sqrt[3]{8 w \times 8 w \times 8 w}}{5} - \frac{2}{5} \sqrt{5 \times 5 \times 2 w} - 4 \sqrt{2 w}$ $w/5root(3)((-4)xx(-4)xx(-4))+root(3)(8wxx8wxx8w)/5-2/5sqrt(5xx5xx2w)-4sqrt(2w)$

= $\frac{w}{5} \times (- 4) + \frac{8 w}{5} - \frac{2}{5} \times 5 \times \sqrt{2 w} - 4 \sqrt{2 w}$ $w/5xx(-4)+(8w)/5-2/5xx5xxsqrt(2w)-4sqrt(2w)$

= $-(4w)/5+(8w)/5-2/cancel5xxcancel5xxsqrt(2w)-4sqrt(2w)$

= $(4w)/5-6sqrt(2w)$

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How do you combine $\frac{w}{5} \sqrt[3]{- 64} + \frac{\sqrt[3]{512 w^{3}}}{5} - \frac{2}{5} \sqrt{50 w} - 4 \sqrt{2 w}$ $\frac { w } { 5} root3(-64) + root3{ 512w ^ { 3 } } / { 5} - \frac { 2} { 5} \sqrt { 50w } - 4\sqrt { 2w }$ into a single term, if possible?

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Explanation:

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