Solve t=210*625-269*3/frac{0.523{sqrt{8}}}

$$t = \frac { 210 \cdot 625 - 269 \cdot 3 } { \frac { 0.523 } { \sqrt { 8 } } }$$

Solve for t

$$t = \frac{260886000 \sqrt{2}}{523} \approx 705446.499872404$$

Steps for Solving Linear Equation

Multiply 210 and 625 to get 131250.

$$t=\frac{131250-269\times 3}{\frac{0.523}{\sqrt{8}}}$$

Multiply 269 and 3 to get 807.

$$t=\frac{131250-807}{\frac{0.523}{\sqrt{8}}}$$

Subtract 807 from 131250 to get 130443.

$$t=\frac{130443}{\frac{0.523}{\sqrt{8}}}$$

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}.

$$t=\frac{130443}{\frac{0.523}{2\sqrt{2}}}$$

Rationalize the denominator of \frac{0.523}{2\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$t=\frac{130443}{\frac{0.523\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}}$$

The square of \sqrt{2} is 2.

$$t=\frac{130443}{\frac{0.523\sqrt{2}}{2\times 2}}$$

Multiply 2 and 2 to get 4.

$$t=\frac{130443}{\frac{0.523\sqrt{2}}{4}}$$

Divide 0.523\sqrt{2} by 4 to get 0.13075\sqrt{2}.

$$t=\frac{130443}{0.13075\sqrt{2}}$$

Rationalize the denominator of \frac{130443}{0.13075\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$t=\frac{130443\sqrt{2}}{0.13075\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$t=\frac{130443\sqrt{2}}{0.13075\times 2}$$

Multiply 0.13075 and 2 to get 0.2615.

$$t=\frac{130443\sqrt{2}}{0.2615}$$

Divide 130443\sqrt{2} by 0.2615 to get \frac{260886000}{523}\sqrt{2}.

$$t=\frac{260886000}{523}\sqrt{2}$$

Assign t

$$t≔\frac{260886000\sqrt{2}}{523}$$