Solve {left(4sqrt{2}right)}^2+4sqrt{5^2}

$${ \left(4 \sqrt{ 2 } \right) }^{ 2 } +4 \sqrt{ { 5 }^{ 2 } }$$

Evaluate

$$52$$

Solution Steps

Expand \left(4\sqrt{2}\right)^{2}.

$$4^{2}\left(\sqrt{2}\right)^{2}+4\sqrt{5^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$16\left(\sqrt{2}\right)^{2}+4\sqrt{5^{2}}$$

The square of \sqrt{2} is 2.

$$16\times 2+4\sqrt{5^{2}}$$

Multiply 16 and 2 to get 32.

$$32+4\sqrt{5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$32+4\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$32+4\times 5$$

Multiply 4 and 5 to get 20.

$$32+20$$

Add 32 and 20 to get 52.

$$52$$

Factor

$$2^{2}\times 13$$