Solve (sqrt(2) + 3)(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

$$(\sqrt{2}+3)(5+\sqrt{2})$$

Evaluate

$8\sqrt{2}+17\approx 28.313708499$

Solution Steps

Apply the distributive property by multiplying each term of $\sqrt{2}+3$ by each term of $5+\sqrt{2}$.

$$5\sqrt{2}+\left(\sqrt{2}\right)^{2}+15+3\sqrt{2}$$

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

$$5\sqrt{2}+2+15+3\sqrt{2}$$

Add $2$ and $15$ to get $17$.

$$5\sqrt{2}+17+3\sqrt{2}$$

Combine $5\sqrt{2}$ and $3\sqrt{2}$ to get $8\sqrt{2}$.

$$8\sqrt{2}+17$$