Solve f_{3}(u)=072*sqrt{200}+008*sqrt{110}+018*sqrt{190}+002*sqrt{100}

$$f _ { 3 } ( u ) = 072 \times \sqrt { 200 } + 008 \times \sqrt { 110 } + 018 \times \sqrt { 190 } + 002 \times \sqrt { 100 }$$

Evaluate

$$0$$

Solution Steps

Multiply 0 and 72 to get 0. Multiply 0 and 0 to get 0. Multiply 0 and 18 to get 0. Multiply 0 and 0 to get 0.

$$0\sqrt{200}+0\times 8\sqrt{110}+0\sqrt{190}+0\times 2\sqrt{100}$$

Factor 200=10^{2}\times 2. Rewrite the square root of the product \sqrt{10^{2}\times 2} as the product of square roots \sqrt{10^{2}}\sqrt{2}. Take the square root of 10^{2}.

$$0\times 10\sqrt{2}+0\times 8\sqrt{110}+0\sqrt{190}+0\times 2\sqrt{100}$$

Multiply 0 and 10 to get 0.

$$0\sqrt{2}+0\times 8\sqrt{110}+0\sqrt{190}+0\times 2\sqrt{100}$$

Anything times zero gives zero.

$$0+0\times 8\sqrt{110}+0\sqrt{190}+0\times 2\sqrt{100}$$

Multiply 0 and 8 to get 0.

$$0+0\sqrt{110}+0\sqrt{190}+0\times 2\sqrt{100}$$

Anything times zero gives zero.

$$0+0+0\sqrt{190}+0\times 2\sqrt{100}$$

Add 0 and 0 to get 0.

$$0\sqrt{190}+0\times 2\sqrt{100}$$

Anything times zero gives zero.

$$0+0\times 2\sqrt{100}$$

Multiply 0 and 2 to get 0.

$$0+0\sqrt{100}$$

Calculate the square root of 100 and get 10.

$$0+0\times 10$$

Multiply 0 and 10 to get 0.

$$0+0$$

Add 0 and 0 to get 0.

$$0$$

Factor

$$0$$