Solve 12^2divsqrt{16}divsqrt{81}+5^2*6div3=

$$12 ^ { 2 } \div \sqrt { 16 } \div \sqrt { 81 } + 5 ^ { 2 } \times 6 \div 3 =$$

Evaluate

$$54$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$\frac{\frac{144}{\sqrt{16}}}{\sqrt{81}}+\frac{5^{2}\times 6}{3}$$

Calculate the square root of 16 and get 4.

$$\frac{\frac{144}{4}}{\sqrt{81}}+\frac{5^{2}\times 6}{3}$$

Divide 144 by 4 to get 36.

$$\frac{36}{\sqrt{81}}+\frac{5^{2}\times 6}{3}$$

Calculate the square root of 81 and get 9.

$$\frac{36}{9}+\frac{5^{2}\times 6}{3}$$

Divide 36 by 9 to get 4.

$$4+\frac{5^{2}\times 6}{3}$$

Calculate 5 to the power of 2 and get 25.

$$4+\frac{25\times 6}{3}$$

Multiply 25 and 6 to get 150.

$$4+\frac{150}{3}$$

Divide 150 by 3 to get 50.

$$4+50$$

Add 4 and 50 to get 54.

$$54$$

Factor

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