Solve t=143-100/0.2070/sqrt{8}

$$t = \frac { 143 - 100 } { 0.2070 / \sqrt { 8 } }$$

Solve for t

$$t = \frac{86000 \sqrt{2}}{207} \approx 587.547663595$$

Steps for Solving Linear Equation

Subtract 100 from 143 to get 43.

$$t=\frac{43}{\frac{0.207}{\sqrt{8}}}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$t=\frac{43}{\frac{0.207}{2\sqrt{2}}}$$

Rationalize the denominator of \frac{0.207}{2\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$t=\frac{43}{\frac{0.207\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}}$$

The square of \sqrt{2} is 2.

$$t=\frac{43}{\frac{0.207\sqrt{2}}{2\times 2}}$$

Multiply 2 and 2 to get 4.

$$t=\frac{43}{\frac{0.207\sqrt{2}}{4}}$$

Divide 0.207\sqrt{2} by 4 to get 0.05175\sqrt{2}.

$$t=\frac{43}{0.05175\sqrt{2}}$$

Rationalize the denominator of \frac{43}{0.05175\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$t=\frac{43\sqrt{2}}{0.05175\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$t=\frac{43\sqrt{2}}{0.05175\times 2}$$

Multiply 0.05175 and 2 to get 0.1035.

$$t=\frac{43\sqrt{2}}{0.1035}$$

Divide 43\sqrt{2} by 0.1035 to get \frac{86000}{207}\sqrt{2}.

$$t=\frac{86000}{207}\sqrt{2}$$

Assign t

$$t≔\frac{86000\sqrt{2}}{207}$$