Home
/
Math
/
Simplify. sqrt [3](8x)+sqrt [3](x)+4sqrt [3](50x) A. 22sqrt [3](4x)+sqrt [3](x) B. 7sqrt [3](2)x+sqrt [3](x) OC. 22sqrt [3](2x)+sqrt [3](x) OD. 22sqrt [3](2)x+sqrt [3](x)

Question

Simplify. sqrt [3](8x)+sqrt [3](x)+4sqrt [3](50x) A. 22sqrt [3](4x)+sqrt [3](x) B. 7sqrt [3](2)x+sqrt [3](x) OC. 22sqrt [3](2x)+sqrt [3](x) OD. 22sqrt [3](2)x+sqrt [3](x)

Simplify.
sqrt [3](8x)+sqrt [3](x)+4sqrt [3](50x)
A. 22sqrt [3](4x)+sqrt [3](x)
B. 7sqrt [3](2)x+sqrt [3](x)
OC. 22sqrt [3](2x)+sqrt [3](x)
OD. 22sqrt [3](2)x+sqrt [3](x)

Solution

expert verifiedExpert Verified
4.3(284 Voting)
avatar
MarinaMaster · Tutor for 5 years

Answer

$\sqrt[3]{8x} + \sqrt[3]{x} + 4\sqrt[3]{50x} = 2\sqrt[3]{x} + \sqrt[3]{x} + 4\sqrt[3]{25 \cdot 2x} = 3\sqrt[3]{x} + 4\sqrt[3]{5^2 \cdot 2x} = 3\sqrt[3]{x} + 4 \cdot 5^{\frac{2}{3}}\sqrt[3]{2x} = 3\sqrt[3]{x} + 10\sqrt[3]{2x}$<br /><br />None of the provided options are correct. The simplified form is $3\sqrt[3]{x} + 10\sqrt[3]{2x}$.<br />
Click to rate: