Solve 6sqrt{98}div2sqrt{2}

$$6 \sqrt { 98 } \div 2 \sqrt { 2 }$$

Evaluate

$$42$$

Solution Steps

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}.

$$\frac{6\times 7\sqrt{2}}{2}\sqrt{2}$$

Multiply 6 and 7 to get 42.

$$\frac{42\sqrt{2}}{2}\sqrt{2}$$

Divide 42\sqrt{2} by 2 to get 21\sqrt{2}.

$$21\sqrt{2}\sqrt{2}$$

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

$$21\times 2$$

Multiply 21 and 2 to get 42.

$$42$$

Factor

$$2\times 3\times 7$$