Solve 3divsqrt{x}*4div2sqrt{x}

$$3 \div \sqrt{ x } \times 4 \div 2 \sqrt{ x }$$

Evaluate

$$6$$

Solution Steps

Express 4\times \frac{3}{\sqrt{x}} as a single fraction.

$$\frac{\frac{4\times 3}{\sqrt{x}}}{2}\sqrt{x}$$

Express \frac{\frac{4\times 3}{\sqrt{x}}}{2} as a single fraction.

$$\frac{4\times 3}{\sqrt{x}\times 2}\sqrt{x}$$

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 3 to get 6.

$$\frac{6}{\sqrt{x}}\sqrt{x}$$

Cancel out \sqrt{x} and \sqrt{x}.

$$6$$

Factor

$$2\times 3$$