Solve 8+2sqrt(3)+8-sqrt(12) | 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

$$8+2 \sqrt{ 3 } +8- \sqrt{ 12 }$$

Evaluate

$16$

Solution Steps

Add $8$ and $8$ to get $16$.

$$16+2\sqrt{3}-\sqrt{12}$$

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 $2^{2}$.

$$16+2\sqrt{3}-2\sqrt{3}$$

Combine $2\sqrt{3}$ and $-2\sqrt{3}$ to get $0$.

$$16$$

Factor

$2^{4}$