Solve sqrt{32}4+4123^2-sqrt{190}

$$\sqrt{ 32 } 4+4 { 123 }^{ 2 } - \sqrt{ 190 }$$

Evaluate

$$16\sqrt{2}+60516-\sqrt{190}\approx 60524.843368246$$

Solution Steps

Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.

$$4\times 4\sqrt{2}+4\times 123^{2}-\sqrt{190}$$

Multiply 4 and 4 to get 16.

$$16\sqrt{2}+4\times 123^{2}-\sqrt{190}$$

Calculate 123 to the power of 2 and get 15129.

$$16\sqrt{2}+4\times 15129-\sqrt{190}$$

Multiply 4 and 15129 to get 60516.

$$16\sqrt{2}+60516-\sqrt{190}$$