2root(3)(4)*2root(3)(2) What is the value of the given expression? Choose 1 answer: (A) 2root(3)(6) (B) 4root(6)(8) (c) 8 (D) 16

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2root(3)(4)*2root(3)(2) What is the value of the given expression? Choose 1 answer: (A)  2root(3)(6) (B)  4root(6)(8) (c) 8 (D) 16

Bytelearn · Accepted Answer

Identify Properties: Identify the properties of radicals and multiplication. When multiplying two numbers with the same radical (in this case, cube roots), you can multiply the numbers under the radical first and then take the cube root of the product. Multiply Numbers: Multiply the numbers under the cube root. We have 2root(3)(4) * 2root(3)(2), which means we multiply 4 and 2 under the cube root, while also multiplying the coefficients 2 and 2 outside the cube root. Perform Multiplication: Perform the multiplication. Multiplying the coefficients gives us 2 * 2 = 4. Multiplying the numbers under the cube root gives us 4 * 2 = 8. So we have 4root(3)(8). Simplify Expression: Simplify the expression if possible. The cube root of 8 is 2, so we can simplify 4root(3)(8) to 4 * 2. Calculate Final Result: Calculate the final result. Multiplying 4 by 2 gives us 8. So the final answer is 8.

$2\sqrt[3]{4} \cdot 2\sqrt[3]{2}$ $\newline$ What is the value of the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $2\sqrt[3]{6}$ $\newline$ (B) $4\sqrt[6]{8}$ $\newline$ (C) $8$ $\newline$ (D) $16$

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243⋅2232\sqrt[3]{4} \cdot 2\sqrt[3]{2}234​⋅232​\newlineWhat is the value of the given expression?\newlineChoose 111 answer:\newline(A) 2632\sqrt[3]{6}236​\newline(B) 4864\sqrt[6]{8}468​\newline(C) 888\newline(D) 161616

$2\sqrt[3]{4} \cdot 2\sqrt[3]{2}$ $\newline$ What is the value of the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $2\sqrt[3]{6}$ $\newline$ (B) $4\sqrt[6]{8}$ $\newline$ (C) $8$ $\newline$ (D) $16$