Solve 4sqrt{625}+{left(-3sqrt{2}right)}^2

$$4 \sqrt{ 625 } + { \left(-3 \sqrt{ 2 } \right) }^{ 2 }$$

Evaluate

$$118$$

Solution Steps

Calculate the square root of 625 and get 25.

$$4\times 25+\left(-3\sqrt{2}\right)^{2}$$

Multiply 4 and 25 to get 100.

$$100+\left(-3\sqrt{2}\right)^{2}$$

Expand \left(-3\sqrt{2}\right)^{2}.

$$100+\left(-3\right)^{2}\left(\sqrt{2}\right)^{2}$$

Calculate -3 to the power of 2 and get 9.

$$100+9\left(\sqrt{2}\right)^{2}$$

The square of \sqrt{2} is 2.

$$100+9\times 2$$

Multiply 9 and 2 to get 18.

$$100+18$$

Add 100 and 18 to get 118.

$$118$$

Factor

$$2\times 59$$