Solve 3sqrt{1/49}-sqrt{4/49}

$$3 \sqrt{ \frac{ 1 }{ 49 } } - \sqrt{ \frac{ 4 }{ 49 } }$$

Evaluate

$$\frac{1}{7}\approx 0.142857143$$

Solution Steps

Rewrite the square root of the division \frac{1}{49} as the division of square roots \frac{\sqrt{1}}{\sqrt{49}}. Take the square root of both numerator and denominator.

$$3\times \frac{1}{7}-\sqrt{\frac{4}{49}}$$

Multiply 3 and \frac{1}{7} to get \frac{3}{7}.

$$\frac{3}{7}-\sqrt{\frac{4}{49}}$$

Rewrite the square root of the division \frac{4}{49} as the division of square roots \frac{\sqrt{4}}{\sqrt{49}}. Take the square root of both numerator and denominator.

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

Since \frac{3}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 3 to get 1.

$$\frac{1}{7}$$

Factor

$$\frac{1}{7} = 0.14285714285714285$$