Solve {left(8*sqrt{7}*+5*sqrt{5}right)}^2

$${ \left(8 \times \sqrt{ 7 } \times +5 \times \sqrt{ 5 } \right) }^{ 2 }$$

Evaluate

$$56000$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\left(40\sqrt{7}\sqrt{5}\right)^{2}$$

To multiply \sqrt{7} and \sqrt{5}, multiply the numbers under the square root.

$$\left(40\sqrt{35}\right)^{2}$$

Expand \left(40\sqrt{35}\right)^{2}.

$$40^{2}\left(\sqrt{35}\right)^{2}$$

Calculate 40 to the power of 2 and get 1600.

$$1600\left(\sqrt{35}\right)^{2}$$

The square of \sqrt{35} is 35.

$$1600\times 35$$

Multiply 1600 and 35 to get 56000.

$$56000$$

Factor

$$2^{6}\times 5^{3}\times 7$$