Solve (3sqrt(7))/(sqrt(7)) | 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

$$\frac{3\sqrt{7}}{\sqrt{7}}$$

Evaluate

$3$

Solution Steps

Rationalize the denominator of $\frac{3\sqrt{7}}{\sqrt{7}}$ by multiplying numerator and denominator by $\sqrt{7}$.

$$\frac{3\sqrt{7}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}$$

The square of $\sqrt{7}$ is $7$.

$$\frac{3\sqrt{7}\sqrt{7}}{7}$$

Multiply $\sqrt{7}$ and $\sqrt{7}$ to get $7$.

$$\frac{3\times 7}{7}$$

Multiply $3$ and $7$ to get $21$.

$$\frac{21}{7}$$

Divide $21$ by $7$ to get $3$.

$$3$$

Factor

$3$