Solve 3sqrt(2) + 6/(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

$$3\sqrt{2}+\frac{6}{\sqrt{2}}$$

Evaluate

$6\sqrt{2}\approx 8.485281374$

Solution Steps

Rationalize the denominator of $\frac{6}{\sqrt{2}}$ by multiplying numerator and denominator by $\sqrt{2}$.

$$3\sqrt{2}+\frac{6\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

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

$$3\sqrt{2}+\frac{6\sqrt{2}}{2}$$

Divide $6\sqrt{2}$ by $2$ to get $3\sqrt{2}$.

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

Combine $3\sqrt{2}$ and $3\sqrt{2}$ to get $6\sqrt{2}$.

$$6\sqrt{2}$$