Solve 2*2,4sqrt{0,5/98}

$$2 \times 2,4 \sqrt { \frac { 0,5 } { 98 } }$$

Evaluate

$$\frac{12}{35}\approx 0,342857143$$

Solution Steps

Multiply 2 and 2,4 to get 4,8.

$$4,8\sqrt{\frac{0,5}{98}}$$

Expand \frac{0,5}{98} by multiplying both numerator and the denominator by 10.

$$4,8\sqrt{\frac{5}{980}}$$

Reduce the fraction \frac{5}{980} to lowest terms by extracting and canceling out 5.

$$4,8\sqrt{\frac{1}{196}}$$

Rewrite the square root of the division \frac{1}{196} as the division of square roots \frac{\sqrt{1}}{\sqrt{196}}. Take the square root of both numerator and denominator.

$$4,8\times \frac{1}{14}$$

Convert decimal number 4,8 to fraction \frac{48}{10}. Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\frac{24}{5}\times \frac{1}{14}$$

Multiply \frac{24}{5} times \frac{1}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 1}{5\times 14}$$

Do the multiplications in the fraction \frac{24\times 1}{5\times 14}.

$$\frac{24}{70}$$

Reduce the fraction \frac{24}{70} to lowest terms by extracting and canceling out 2.

$$\frac{12}{35}$$

Factor

$$\frac{3 \cdot 2 ^ {2}}{5 \cdot 7} = 0.34285714285714286$$