Solve {l}{T=2*3}{a=14sqrt{8*10^-33}*0}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { T = 2 \cdot 3 }\\ { a = 14 \sqrt{8 \cdot 10 ^ {-33}} \cdot 0 }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for T, a, b

$$b=0$$

Solution Steps

Consider the first equation. Multiply 2 and 3 to get 6.

$$T=6$$

Consider the second equation. Multiply 0 and 14 to get 0.

$$a=0\sqrt{8\times 10^{-33}}$$

Calculate 10 to the power of -33 and get \frac{1}{1000000000000000000000000000000000}.

$$a=0\sqrt{8\times \frac{1}{1000000000000000000000000000000000}}$$

Multiply 8 and \frac{1}{1000000000000000000000000000000000} to get \frac{1}{125000000000000000000000000000000}.

$$a=0\sqrt{\frac{1}{125000000000000000000000000000000}}$$

Rewrite the square root of the division \sqrt{\frac{1}{125000000000000000000000000000000}} as the division of square roots \frac{\sqrt{1}}{\sqrt{125000000000000000000000000000000}}.

$$a=0\times \frac{\sqrt{1}}{\sqrt{125000000000000000000000000000000}}$$

Calculate the square root of 1 and get 1.

$$a=0\times \frac{1}{\sqrt{125000000000000000000000000000000}}$$

Factor 125000000000000000000000000000000=5000000000000000^{2}\times 5. Rewrite the square root of the product \sqrt{5000000000000000^{2}\times 5} as the product of square roots \sqrt{5000000000000000^{2}}\sqrt{5}. Take the square root of 5000000000000000^{2}.

$$a=0\times \frac{1}{5000000000000000\sqrt{5}}$$

Rationalize the denominator of \frac{1}{5000000000000000\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$a=0\times \frac{\sqrt{5}}{5000000000000000\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

$$a=0\times \frac{\sqrt{5}}{5000000000000000\times 5}$$

Multiply 5000000000000000 and 5 to get 25000000000000000.

$$a=0\times \frac{\sqrt{5}}{25000000000000000}$$

Anything times zero gives zero.

$$a=0$$

Consider the third equation. Insert the known values of variables into the equation.

$$b=0$$

The system is now solved.

$$T=6 a=0 b=0$$