Solve (3+3sqrt{4})^2(4+5sqrt{4})

$$( 3 + 3 \sqrt { 4 } ) ^ { 2 } ( 4 + 5 \sqrt { 4 } )$$

Evaluate

$$1134$$

Solution Steps

Calculate the square root of 4 and get 2.

$$\left(3+3\times 2\right)^{2}\left(4+5\sqrt{4}\right)$$

Multiply 3 and 2 to get 6.

$$\left(3+6\right)^{2}\left(4+5\sqrt{4}\right)$$

Add 3 and 6 to get 9.

$$9^{2}\left(4+5\sqrt{4}\right)$$

Calculate 9 to the power of 2 and get 81.

$$81\left(4+5\sqrt{4}\right)$$

Calculate the square root of 4 and get 2.

$$81\left(4+5\times 2\right)$$

Multiply 5 and 2 to get 10.

$$81\left(4+10\right)$$

Add 4 and 10 to get 14.

$$81\times 14$$

Multiply 81 and 14 to get 1134.

$$1134$$

Factor

$$2\times 3^{4}\times 7$$