Solve sqrt[6]{1,05^2*1,06^3*1,07}

$$\sqrt[ 6 ] { 1,05 ^ { 2 } \cdot 1,06 ^ { 3 } \cdot 1,07 }$$

Evaluate

$$\sqrt[6]{5778}\approx 4.236067999$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\sqrt[6]{1\times 25\times 1\times 6^{3}\times 1,07}$$

Multiply 1 and 25 to get 25.

$$\sqrt[6]{25\times 1\times 6^{3}\times 1,07}$$

Multiply 25 and 1 to get 25.

$$\sqrt[6]{25\times 6^{3}\times 1,07}$$

Calculate 6 to the power of 3 and get 216.

$$\sqrt[6]{25\times 216\times 1,07}$$

Multiply 25 and 216 to get 5400.

$$\sqrt[6]{5400\times 1,07}$$

Multiply 5400 and 1,07 to get 5778.

$$\sqrt[6]{5778}$$