Solve 36/2*2*sqrt{6*9div3}

$$\frac{ 36 }{ 2 \times 2 } \times \sqrt{ 6 \times 9 \div 3 }$$

Evaluate

$$27\sqrt{2}\approx 38.183766184$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{36}{4}\sqrt{\frac{6\times 9}{3}}$$

Divide 36 by 4 to get 9.

$$9\sqrt{\frac{6\times 9}{3}}$$

Multiply 6 and 9 to get 54.

$$9\sqrt{\frac{54}{3}}$$

Divide 54 by 3 to get 18.

$$9\sqrt{18}$$

Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.

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

Multiply 9 and 3 to get 27.

$$27\sqrt{2}$$