Solve sqrt(3) * (sqrt(6) + 4) | 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

$$\sqrt{3}(\sqrt{6}+4)$$

Evaluate

$\sqrt{3}\left(\sqrt{6}+4\right)\approx 11.170843917$

Solution Steps

Use the distributive property to multiply $\sqrt{3}$ by $\sqrt{6}+4$.

$$\sqrt{3}\sqrt{6}+4\sqrt{3}$$

Factor $6=3\times 2$. Rewrite the square root of the product $\sqrt{3\times 2}$ as the product of square roots $\sqrt{3}\sqrt{2}$.

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

Multiply $\sqrt{3}$ and $\sqrt{3}$ to get $3$.

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