Solve sqrt[4]{(1+0.15)(1-0.174)(1+0.232)(1+0.423)}

$$\sqrt[ 4 ] { ( 1 + 0.15 ) ( 1 - 0.174 ) ( 1 + 0.232 ) ( 1 + 0.423 ) }$$

Evaluate

$$\frac{\sqrt{10}\sqrt[4]{1040814929}}{500}\approx 1.135987033$$

Solution Steps

Add 1 and 0.15 to get 1.15.

$$\sqrt[4]{1.15\left(1-0.174\right)\left(1+0.232\right)\left(1+0.423\right)}$$

Subtract 0.174 from 1 to get 0.826.

$$\sqrt[4]{1.15\times 0.826\left(1+0.232\right)\left(1+0.423\right)}$$

Multiply 1.15 and 0.826 to get 0.9499.

$$\sqrt[4]{0.9499\left(1+0.232\right)\left(1+0.423\right)}$$

Add 1 and 0.232 to get 1.232.

$$\sqrt[4]{0.9499\times 1.232\left(1+0.423\right)}$$

Multiply 0.9499 and 1.232 to get 1.1702768.

$$\sqrt[4]{1.1702768\left(1+0.423\right)}$$

Add 1 and 0.423 to get 1.423.

$$\sqrt[4]{1.1702768\times 1.423}$$

Multiply 1.1702768 and 1.423 to get 1.6653038864.

$$\sqrt[4]{1.6653038864}$$