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11 fill in the blank 1 point given the equation, $2sqrt3{x} + 4 = 10$, …

Question

11 fill in the blank 1 point given the equation, $2sqrt3{x} + 4 = 10$, x= type your answer...

Explanation:

Step1: Isolate the radical term

Subtract 4 from both sides.
$2\sqrt[3]{x} + 4 - 4 = 10 - 4$
$2\sqrt[3]{x} = 6$

Step2: Solve for the cube root

Divide both sides by 2.
$\frac{2\sqrt[3]{x}}{2} = \frac{6}{2}$
$\sqrt[3]{x} = 3$

Step3: Eliminate the cube root

Cube both sides of the equation.
$(\sqrt[3]{x})^3 = 3^3$
$x = 27$

Answer:

$27$