Given xgt 0 rewrite the following expression in simplest radical form. sqrt [3](8x^10)cdot sqrt (121x) Answer Attemptiout of 2 square

To simplify the given expression, we need to rewrite it in the simplest radical form.<br /><br />The given expression is:<br />$\sqrt [3]{8x^{10}}\cdot \sqrt {121x}$<br /><br />Step 1: Simplify the cube root term.<br />$\sqrt [3]{8x^{10}} = \sqrt [3]{8} \cdot \sqrt [3]{x^{10}} = 2 \cdot x^{10/3}$<br /><br />Step 2: Simplify the square root term.<br />$\sqrt {121x} = \sqrt {121} \cdot \sqrt {x} = 11 \cdot \sqrt {x}$<br /><br />Step 3: Multiply the simplified terms.<br />$2 \cdot x^{10/3} \cdot 11 \cdot \sqrt {x} = 22 \cdot x^{10/3} \cdot \sqrt {x}$<br /><br />Therefore, the simplified expression is:<br />$\boxed{22 \cdot x^{10/3} \cdot \sqrt {x}}$