Solve 4sqrt{18}-sqrt{50}

$$4 \sqrt{ 18 } - \sqrt{ 50 }$$

Evaluate

$$7\sqrt{2}\approx 9.899494937$$

Solution Steps

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}.

$$4\times 3\sqrt{2}-\sqrt{50}$$

Multiply 4 and 3 to get 12.

$$12\sqrt{2}-\sqrt{50}$$

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$12\sqrt{2}-5\sqrt{2}$$

Combine 12\sqrt{2} and -5\sqrt{2} to get 7\sqrt{2}.

$$7\sqrt{2}$$