Solve 18sqrt{2}div2sqrt{98}

$$18 \sqrt { 2 } \div 2 \sqrt { 98 }$$

Evaluate

$$126$$

Solution Steps

Divide 18\sqrt{2} by 2 to get 9\sqrt{2}.

$$9\sqrt{2}\sqrt{98}$$

Factor 98=7^{2}\times 2. Rewrite the square root of the product \sqrt{7^{2}\times 2} as the product of square roots \sqrt{7^{2}}\sqrt{2}. Take the square root of 7^{2}.

$$9\sqrt{2}\times 7\sqrt{2}$$

Multiply 9 and 7 to get 63.

$$63\sqrt{2}\sqrt{2}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$63\times 2$$

Multiply 63 and 2 to get 126.

$$126$$

Factor

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