Solve 2*99*100+3+8*0*3+5+1+9*sqrt{1000}

$$2 \times 99 \times 100+3+8 \times 0 \times 3+5+1+9 \times \sqrt{ 1000 }$$

Evaluate

$$9\left(10\sqrt{10}+2201\right)\approx 20093.604989415$$

Solution Steps

Multiply 2 and 99 to get 198. Multiply 8 and 0 to get 0.

$$198\times 100+3+0\times 3+5+1+9\sqrt{1000}$$

Multiply 198 and 100 to get 19800.

$$19800+3+0\times 3+5+1+9\sqrt{1000}$$

Add 19800 and 3 to get 19803.

$$19803+0\times 3+5+1+9\sqrt{1000}$$

Multiply 0 and 3 to get 0.

$$19803+0+5+1+9\sqrt{1000}$$

Add 19803 and 0 to get 19803.

$$19803+5+1+9\sqrt{1000}$$

Add 19803 and 5 to get 19808.

$$19808+1+9\sqrt{1000}$$

Add 19808 and 1 to get 19809.

$$19809+9\sqrt{1000}$$

Factor 1000=10^{2}\times 10. Rewrite the square root of the product \sqrt{10^{2}\times 10} as the product of square roots \sqrt{10^{2}}\sqrt{10}. Take the square root of 10^{2}.

$$19809+9\times 10\sqrt{10}$$

Multiply 9 and 10 to get 90.

$$19809+90\sqrt{10}$$