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

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

Evaluate

$$6$$

Solution Steps

Add 4 and 5 to get 9.

$$\sqrt{\frac{9^{2}}{3^{2}}\times 2^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$\sqrt{\frac{81}{3^{2}}\times 2^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\sqrt{\frac{81}{9}\times 2^{2}}$$

Divide 81 by 9 to get 9.

$$\sqrt{9\times 2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\sqrt{9\times 4}$$

Multiply 9 and 4 to get 36.

$$\sqrt{36}$$

Calculate the square root of 36 and get 6.

$$6$$

Factor

$$2\times 3$$