Solve 5sqrt{2}+2sqrt{3}2-sqrt{98}

$$5 \sqrt { 2 } + 2 \sqrt { 3 } 2 - \sqrt { 98 }$$

Evaluate

$$2\sqrt{2}\left(\sqrt{6}-1\right)\approx 4.099776106$$

Solution Steps

Multiply 2 and 2 to get 4.

$$5\sqrt{2}+4\sqrt{3}-\sqrt{98}$$

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}.

$$5\sqrt{2}+4\sqrt{3}-7\sqrt{2}$$

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

$$-2\sqrt{2}+4\sqrt{3}$$