Solve (4.30*10^-4/sqrt{3})

$$( 4.30 \times 10 ^ { - 4 } / \sqrt { 3 } )$$

Evaluate

$$\frac{43\sqrt{3}}{300000}\approx 0.000248261$$

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{4.3\times \frac{1}{10000}}{\sqrt{3}}$$

Multiply 4.3 and \frac{1}{10000} to get \frac{43}{100000}.

$$\frac{\frac{43}{100000}}{\sqrt{3}}$$

Express \frac{\frac{43}{100000}}{\sqrt{3}} as a single fraction.

$$\frac{43}{100000\sqrt{3}}$$

Rationalize the denominator of \frac{43}{100000\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{43\sqrt{3}}{100000\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{43\sqrt{3}}{100000\times 3}$$

Multiply 100000 and 3 to get 300000.

$$\frac{43\sqrt{3}}{300000}$$