Solve 129div52/2x52=sqrt{8}

$$129 \div \frac{ 52 }{ 2 } x52= \sqrt{ 8 }$$

Solve for x_52

$$x_{52}=\frac{52\sqrt{2}}{129}\approx 0.570070583$$

Steps for Solving Linear Equation

Divide 129 by \frac{52}{2} by multiplying 129 by the reciprocal of \frac{52}{2}.

$$\frac{129\times 2}{52}x_{52}=\sqrt{8}$$

Multiply 129 and 2 to get 258.

$$\frac{258}{52}x_{52}=\sqrt{8}$$

Reduce the fraction \frac{258}{52} to lowest terms by extracting and canceling out 2.

$$\frac{129}{26}x_{52}=\sqrt{8}$$

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}.

$$\frac{129}{26}x_{52}=2\sqrt{2}$$

Divide both sides of the equation by \frac{129}{26}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{129}{26}x_{52}}{\frac{129}{26}}=\frac{2\sqrt{2}}{\frac{129}{26}}$$

Dividing by \frac{129}{26} undoes the multiplication by \frac{129}{26}.

$$x_{52}=\frac{2\sqrt{2}}{\frac{129}{26}}$$

Divide 2\sqrt{2} by \frac{129}{26} by multiplying 2\sqrt{2} by the reciprocal of \frac{129}{26}.

$$x_{52}=\frac{52\sqrt{2}}{129}$$