Solve 78\times2sqrt(156\times2) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Evaluate

$312\sqrt{78}\approx 2755.509390294$

Solution Steps

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

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

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

$$156\sqrt{312}$$

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 $2^{2}$.

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

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

$$312\sqrt{78}$$