Solve 6sqrt{56}div3sqrt{11}

$$6 \sqrt { 56 } \div 3 \sqrt { 11 }$$

Evaluate

$$4\sqrt{154}\approx 49.638694584$$

Solution Steps

Factor 56=2^{2}\times 14. Rewrite the square root of the product \sqrt{2^{2}\times 14} as the product of square roots \sqrt{2^{2}}\sqrt{14}. Take the square root of 2^{2}.

$$\frac{6\times 2\sqrt{14}}{3}\sqrt{11}$$

Multiply 6 and 2 to get 12.

$$\frac{12\sqrt{14}}{3}\sqrt{11}$$

Divide 12\sqrt{14} by 3 to get 4\sqrt{14}.

$$4\sqrt{14}\sqrt{11}$$

To multiply \sqrt{14} and \sqrt{11}, multiply the numbers under the square root.

$$4\sqrt{154}$$