Solve 2sqrt{36}div1/2sqrt{18}

$$2 \sqrt { 36 } \div \frac { 1 } { 2 } \sqrt { 18 }$$

Evaluate

$$72\sqrt{2}\approx 101.823376491$$

Solution Steps

Calculate the square root of 36 and get 6.

$$\frac{2\times 6}{\frac{1}{2}}\sqrt{18}$$

Multiply 2 and 6 to get 12.

$$\frac{12}{\frac{1}{2}}\sqrt{18}$$

Divide 12 by \frac{1}{2} by multiplying 12 by the reciprocal of \frac{1}{2}.

$$12\times 2\sqrt{18}$$

Multiply 12 and 2 to get 24.

$$24\sqrt{18}$$

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}.

$$24\times 3\sqrt{2}$$

Multiply 24 and 3 to get 72.

$$72\sqrt{2}$$