Solve (3 + sqrt(3))(3 - sqrt(3)) | 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

$$(3+\sqrt{3})(3-\sqrt{3})$$

Evaluate

$6$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: $\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$.

$$3^{2}-\left(\sqrt{3}\right)^{2}$$

Calculate $3$ to the power of $2$ and get $9$.

$$9-\left(\sqrt{3}\right)^{2}$$

The square of $\sqrt{3}$ is $3$.

$$9-3$$

Subtract $3$ from $9$ to get $6$.

$$6$$

Factor

$2\times 3$