Solve x=(sqrt{2.3*10^-6}divsqrt{9*10^9})div1.602*10^-19

$$x=( \sqrt{ 2.3 \times { 10 }^{ -6 } } \div \sqrt{ 9 \times { 10 }^{ 9 } } ) \div 1.602 \times { 10 }^{ -19 }$$

Solve for x

$$x=\frac{\sqrt{23}}{4806000000000000000000000000}\approx 9.978842121 \cdot 10^{-28}$$

Steps for Solving Linear Equation

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$x=\frac{\frac{\sqrt{2.3\times \frac{1}{1000000}}}{\sqrt{9\times 10^{9}}}}{1.602}\times 10^{-19}$$

Multiply 2.3 and \frac{1}{1000000} to get \frac{23}{10000000}.

$$x=\frac{\frac{\sqrt{\frac{23}{10000000}}}{\sqrt{9\times 10^{9}}}}{1.602}\times 10^{-19}$$

Rewrite the square root of the division \sqrt{\frac{23}{10000000}} as the division of square roots \frac{\sqrt{23}}{\sqrt{10000000}}.

$$x=\frac{\frac{\frac{\sqrt{23}}{\sqrt{10000000}}}{\sqrt{9\times 10^{9}}}}{1.602}\times 10^{-19}$$

Factor 10000000=1000^{2}\times 10. Rewrite the square root of the product \sqrt{1000^{2}\times 10} as the product of square roots \sqrt{1000^{2}}\sqrt{10}. Take the square root of 1000^{2}.

$$x=\frac{\frac{\frac{\sqrt{23}}{1000\sqrt{10}}}{\sqrt{9\times 10^{9}}}}{1.602}\times 10^{-19}$$

Rationalize the denominator of \frac{\sqrt{23}}{1000\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.

$$x=\frac{\frac{\frac{\sqrt{23}\sqrt{10}}{1000\left(\sqrt{10}\right)^{2}}}{\sqrt{9\times 10^{9}}}}{1.602}\times 10^{-19}$$

The square of \sqrt{10} is 10.

$$x=\frac{\frac{\frac{\sqrt{23}\sqrt{10}}{1000\times 10}}{\sqrt{9\times 10^{9}}}}{1.602}\times 10^{-19}$$

To multiply \sqrt{23} and \sqrt{10}, multiply the numbers under the square root.

$$x=\frac{\frac{\frac{\sqrt{230}}{1000\times 10}}{\sqrt{9\times 10^{9}}}}{1.602}\times 10^{-19}$$

Multiply 1000 and 10 to get 10000.

$$x=\frac{\frac{\frac{\sqrt{230}}{10000}}{\sqrt{9\times 10^{9}}}}{1.602}\times 10^{-19}$$

Calculate 10 to the power of 9 and get 1000000000.

$$x=\frac{\frac{\frac{\sqrt{230}}{10000}}{\sqrt{9\times 1000000000}}}{1.602}\times 10^{-19}$$

Multiply 9 and 1000000000 to get 9000000000.

$$x=\frac{\frac{\frac{\sqrt{230}}{10000}}{\sqrt{9000000000}}}{1.602}\times 10^{-19}$$

Factor 9000000000=30000^{2}\times 10. Rewrite the square root of the product \sqrt{30000^{2}\times 10} as the product of square roots \sqrt{30000^{2}}\sqrt{10}. Take the square root of 30000^{2}.

$$x=\frac{\frac{\frac{\sqrt{230}}{10000}}{30000\sqrt{10}}}{1.602}\times 10^{-19}$$

Express \frac{\frac{\sqrt{230}}{10000}}{30000\sqrt{10}} as a single fraction.

$$x=\frac{\frac{\sqrt{230}}{10000\times 30000\sqrt{10}}}{1.602}\times 10^{-19}$$

Rationalize the denominator of \frac{\sqrt{230}}{10000\times 30000\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.

$$x=\frac{\frac{\sqrt{230}\sqrt{10}}{10000\times 30000\left(\sqrt{10}\right)^{2}}}{1.602}\times 10^{-19}$$

The square of \sqrt{10} is 10.

$$x=\frac{\frac{\sqrt{230}\sqrt{10}}{10000\times 30000\times 10}}{1.602}\times 10^{-19}$$

Factor 230=10\times 23. Rewrite the square root of the product \sqrt{10\times 23} as the product of square roots \sqrt{10}\sqrt{23}.

$$x=\frac{\frac{\sqrt{10}\sqrt{23}\sqrt{10}}{10000\times 30000\times 10}}{1.602}\times 10^{-19}$$

Multiply \sqrt{10} and \sqrt{10} to get 10.

$$x=\frac{\frac{10\sqrt{23}}{10000\times 30000\times 10}}{1.602}\times 10^{-19}$$

Multiply 10000 and 30000 to get 300000000.

$$x=\frac{\frac{10\sqrt{23}}{300000000\times 10}}{1.602}\times 10^{-19}$$

Multiply 300000000 and 10 to get 3000000000.

$$x=\frac{\frac{10\sqrt{23}}{3000000000}}{1.602}\times 10^{-19}$$

Divide 10\sqrt{23} by 3000000000 to get \frac{1}{300000000}\sqrt{23}.

$$x=\frac{\frac{1}{300000000}\sqrt{23}}{1.602}\times 10^{-19}$$

Divide \frac{1}{300000000}\sqrt{23} by 1.602 to get \frac{1}{480600000}\sqrt{23}.

$$x=\frac{1}{480600000}\sqrt{23}\times 10^{-19}$$

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$x=\frac{1}{480600000}\sqrt{23}\times \frac{1}{10000000000000000000}$$

Multiply \frac{1}{480600000} and \frac{1}{10000000000000000000} to get \frac{1}{4806000000000000000000000000}.

$$x=\frac{1}{4806000000000000000000000000}\sqrt{23}$$

Assign x

$$x≔\frac{\sqrt{23}}{4806000000000000000000000000}$$