Solve sqrt{(4-1.3)*10^2+1.9*10^2}

$$\sqrt { ( 4 - 1.3 ) \times 10 ^ { 2 } + 1.9 \times 10 ^ { 2 } }$$

Evaluate

$$2\sqrt{115}\approx 21.44761059$$

Solution Steps

Subtract 1.3 from 4 to get 2.7.

$$\sqrt{2.7\times 10^{2}+1.9\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\sqrt{2.7\times 100+1.9\times 10^{2}}$$

Multiply 2.7 and 100 to get 270.

$$\sqrt{270+1.9\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\sqrt{270+1.9\times 100}$$

Multiply 1.9 and 100 to get 190.

$$\sqrt{270+190}$$

Add 270 and 190 to get 460.

$$\sqrt{460}$$

Factor 460=2^{2}\times 115. Rewrite the square root of the product \sqrt{2^{2}\times 115} as the product of square roots \sqrt{2^{2}}\sqrt{115}. Take the square root of 2^{2}.

$$2\sqrt{115}$$