How to solve 4sqrt(2 imes6)

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 4sqrt(2\times6) | Equatix

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Question

$$4 \sqrt{ 2 \times 6 }$$

Evaluate

$8\sqrt{3}\approx 13.856406461$

Solution Steps

Multiply $2$ and $6$ to get $12$.

$$4\sqrt{12}$$

Factor $12=2^{2}\times 3$. Rewrite the square root of the product $\sqrt{2^{2}\times 3}$ as the product of square roots $\sqrt{2^{2}}\sqrt{3}$. Take the square root of $2^{2}$.

$$4\times 2\sqrt{3}$$

Multiply $4$ and $2$ to get $8$.

$$8\sqrt{3}$$

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