How to solve 2sqrt(2(4+6))

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 2sqrt(2(4+6)) | Equatix

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Question

$$2 \sqrt{ 2(4+6) }$$

Evaluate

$4\sqrt{5}\approx 8.94427191$

Solution Steps

Add $4$ and $6$ to get $10$.

$$2\sqrt{2\times 10}$$

Multiply $2$ and $10$ to get $20$.

$$2\sqrt{20}$$

Factor $20=2^{2}\times 5$. Rewrite the square root of the product $\sqrt{2^{2}\times 5}$ as the product of square roots $\sqrt{2^{2}}\sqrt{5}$. Take the square root of $2^{2}$.

$$2\times 2\sqrt{5}$$

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

$$4\sqrt{5}$$

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