Solve (sqrt(3) + sqrt(7))(sqrt(3) - sqrt(7)) | 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

$$(\sqrt{3}+\sqrt{7})(\sqrt{3}-\sqrt{7})$$

Evaluate

$-4$

Solution Steps

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

$$\left(\sqrt{3}\right)^{2}-\left(\sqrt{7}\right)^{2}$$

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

$$3-\left(\sqrt{7}\right)^{2}$$

The square of $\sqrt{7}$ is $7$.

$$3-7$$

Subtract $7$ from $3$ to get $-4$.

$$-4$$

Factor

$-4$