How to solve 78sqrt(156 imes2)

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 78sqrt(156\times2) | Equatix

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Question

$$78 \sqrt{ 156 \times 2 }$$

Evaluate

$156\sqrt{78}\approx 1377.754695147$

Solution Steps

Multiply $156$ and $2$ to get $312$.

$$78\sqrt{312}$$

Factor $312=2^{2}\times 78$. Rewrite the square root of the product $\sqrt{2^{2}\times 78}$ as the product of square roots $\sqrt{2^{2}}\sqrt{78}$. Take the square root of $2^{2}$.

$$78\times 2\sqrt{78}$$

Multiply $78$ and $2$ to get $156$.

$$156\sqrt{78}$$

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