How to solve (2)^(3)sqrt(54)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (2)^(3)sqrt(54) | Equatix

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Question

$${ 2 }^{ 3 } \sqrt{ 54 }$$

Evaluate

$24\sqrt{6}\approx 58.787753827$

Solution Steps

Calculate $2$ to the power of $3$ and get $8$.

$$8\sqrt{54}$$

Factor $54=3^{2}\times 6$. Rewrite the square root of the product $\sqrt{3^{2}\times 6}$ as the product of square roots $\sqrt{3^{2}}\sqrt{6}$. Take the square root of $3^{2}$.

$$8\times 3\sqrt{6}$$

Multiply $8$ and $3$ to get $24$.

$$24\sqrt{6}$$

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