How to solve 54sqrt(378 imes8)

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 54sqrt(378\times8) | Equatix

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Question

$$54 \sqrt{ 378 \times 8 }$$

Evaluate

$648\sqrt{21}\approx 2969.509050331$

Solution Steps

Multiply $378$ and $8$ to get $3024$.

$$54\sqrt{3024}$$

Factor $3024=12^{2}\times 21$. Rewrite the square root of the product $\sqrt{12^{2}\times 21}$ as the product of square roots $\sqrt{12^{2}}\sqrt{21}$. Take the square root of $12^{2}$.

$$54\times 12\sqrt{21}$$

Multiply $54$ and $12$ to get $648$.

$$648\sqrt{21}$$

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