Solve (2+sqrt(2))(2-sqrt(2)) | 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

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

Evaluate

$2$

Solution Steps

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

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

Calculate $2$ to the power of $2$ and get $4$.

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

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

$$4-2$$

Subtract $2$ from $4$ to get $2$.

$$2$$

Factor

$2$