Solve (sqrt(3) + sqrt(4))(sqrt(3) - sqrt(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

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

Evaluate

$-1$

Solution Steps

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

$$\left(\sqrt{3}\right)^{2}-\left(\sqrt{4}\right)^{2}$$

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

$$3-\left(\sqrt{4}\right)^{2}$$

The square of $\sqrt{4}$ is $4$.

$$3-4$$

Subtract $4$ from $3$ to get $-1$.

$$-1$$

Factor

$-1$