Solve (sqrt(5) - sqrt(2))(sqrt(5) + 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

$$(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})$$

Evaluate

$3$

Solution Steps

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

$$\left(\sqrt{5}\right)^{2}-\left(\sqrt{2}\right)^{2}$$

The square of $\sqrt{5}$ is $5$.

$$5-\left(\sqrt{2}\right)^{2}$$

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

$$5-2$$

Subtract $2$ from $5$ to get $3$.

$$3$$

Factor

$3$