Solve (sqrt(2) + sqrt(7))(sqrt(2) - 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

$$(\sqrt{2}+\sqrt{7})(\sqrt{2}-\sqrt{7})$$

Evaluate

$-5$

Solution Steps

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

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

The square of $\sqrt{2}$ is $2$.

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

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

$$2-7$$

Subtract $7$ from $2$ to get $-5$.

$$-5$$

Factor

$-5$