Solve sqrt{17x(32.97^2+33.62^2)/18+18-2}=33.275

$$\sqrt { \frac { 17 x ( 32.97 ^ { 2 } + 33.62 ^ { 2 } ) } { 18 + 18 - 2 } } = 33.275$$

Solve for x

$$x=\frac{44289025}{44346506}\approx 0.998703821$$

Steps for Solving Radical Equations

Calculate 32.97 to the power of 2 and get 1087.0209.

$$\sqrt{\frac{17x\left(1087.0209+33.62^{2}\right)}{18+18-2}}=33.275$$

Calculate 33.62 to the power of 2 and get 1130.3044.

$$\sqrt{\frac{17x\left(1087.0209+1130.3044\right)}{18+18-2}}=33.275$$

Add 1087.0209 and 1130.3044 to get 2217.3253.

$$\sqrt{\frac{17x\times 2217.3253}{18+18-2}}=33.275$$

Multiply 17 and 2217.3253 to get 37694.5301.

$$\sqrt{\frac{37694.5301x}{18+18-2}}=33.275$$

Add 18 and 18 to get 36.

$$\sqrt{\frac{37694.5301x}{36-2}}=33.275$$

Subtract 2 from 36 to get 34.

$$\sqrt{\frac{37694.5301x}{34}}=33.275$$

Divide 37694.5301x by 34 to get 1108.66265x.

$$\sqrt{1108.66265x}=33.275$$

Square both sides of the equation.

$$1108.66265x=1107.225625$$

Divide both sides of the equation by 1108.66265, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1108.66265x}{1108.66265}=\frac{1107.225625}{1108.66265}$$

Dividing by 1108.66265 undoes the multiplication by 1108.66265.

$$x=\frac{1107.225625}{1108.66265}$$

Divide 1107.225625 by 1108.66265 by multiplying 1107.225625 by the reciprocal of 1108.66265.

$$x=\frac{44289025}{44346506}$$