Solve Rationalize the denominator 3/(2sqrt(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

$$\frac { 3 } { 2 \sqrt { 7 } }$$

Evaluate

$\frac{3\sqrt{7}}{14}\approx 0.56694671$

Solution Steps

Rationalize the denominator of $\frac{3}{2\sqrt{7}}$ by multiplying numerator and denominator by $\sqrt{7}$.

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

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

$$\frac{3\sqrt{7}}{2\times 7}$$

Multiply $2$ and $7$ to get $14$.

$$\frac{3\sqrt{7}}{14}$$