Given x0, simplify sqrt[3]{8 x^{24}} completely.

Question

Given x>0, simplify sqrt[3]{8 x^{24}} completely.

Accepted Answer

Step:1 ：Given the expression (sqrt[3]{8 x^{24}}).Step:2 ：The expression is a cube root. To simplify it, we need to find the cube root of the constant and the cube root of the variable part separately.Step:3 ：The cube root of 8 is 2.Step:4 ：The cube root of (x^{24}) is (x^{8}) because (frac{24}{3} = 8).Step:5 ：So, the simplified form of the given expression is (2x^{8}).Step:6 ：Final Answer: (boxed{2x^{8}})

Answer

Step: 1 ：Given the expression (sqrt[3]{8 x^{24}}).Step: 2 ：The expression is a cube root. To simplify it, we need to find the cube root of the constant and the cube root of the variable part separately.Step: 3 ：The cube root of 8 is 2.Step: 4 ：The cube root of (x^{24}) is (x^{8}) because (frac{24}{3} = 8).Step: 5 ：So, the simplified form of the given expression is (2x^{8}).Step: 6 ：Final Answer: (boxed{2x^{8}})

Given $x> 0$, simplify $\sqrt[3]{8 x^{24}}$ completely.

Answer

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