Solve sqrt[2]{2^6*3^3*5^6}

$$\sqrt[ 2 ]{ { 2 }^{ 6 } \times { 3 }^{ 3 } \times { 5 }^{ 6 } }$$

Evaluate

$$3000\sqrt{3}\approx 5196.152422707$$

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$\sqrt[2]{64\times 3^{3}\times 5^{6}}$$

Calculate 3 to the power of 3 and get 27.

$$\sqrt[2]{64\times 27\times 5^{6}}$$

Multiply 64 and 27 to get 1728.

$$\sqrt[2]{1728\times 5^{6}}$$

Calculate 5 to the power of 6 and get 15625.

$$\sqrt[2]{1728\times 15625}$$

Multiply 1728 and 15625 to get 27000000.

$$\sqrt[2]{27000000}$$