Solve .( sqrt 5 + sqrt 3 )( sqrt 5 - sqrt 3 ) | 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

$$.(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})$$

Evaluate

$2$

Solution Steps

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

$$\left(\sqrt{5}\right)^{2}-\left(\sqrt{3}\right)^{2}$$

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

$$5-\left(\sqrt{3}\right)^{2}$$

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

$$5-3$$

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

$$2$$

Factor

$2$