Solve 5frac{sqrt{12}}{14}

$$5 \frac{ \sqrt{ 12 } }{ 14 }$$

Evaluate

$$\frac{5\sqrt{3}}{7}\approx 1.237179148$$

Solution Steps

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$5\times \frac{2\sqrt{3}}{14}$$

Divide 2\sqrt{3} by 14 to get \frac{1}{7}\sqrt{3}.

$$5\times \frac{1}{7}\sqrt{3}$$

Multiply 5 and \frac{1}{7} to get \frac{5}{7}.

$$\frac{5}{7}\sqrt{3}$$