Solve 8*6^25sqrt{23(356)}

$$8 \times { 6 }^{ 2 } 5 \sqrt{ 23(356) }$$

Evaluate

$$2880\sqrt{2047}\approx 130302.098217949$$

Solution Steps

Multiply 5 and 8 to get 40.

$$40\times 6^{2}\sqrt{23\times 356}$$

Calculate 6 to the power of 2 and get 36.

$$40\times 36\sqrt{23\times 356}$$

Multiply 40 and 36 to get 1440.

$$1440\sqrt{23\times 356}$$

Multiply 23 and 356 to get 8188.

$$1440\sqrt{8188}$$

Factor 8188=2^{2}\times 2047. Rewrite the square root of the product \sqrt{2^{2}\times 2047} as the product of square roots \sqrt{2^{2}}\sqrt{2047}. Take the square root of 2^{2}.

$$1440\times 2\sqrt{2047}$$

Multiply 1440 and 2 to get 2880.

$$2880\sqrt{2047}$$