Solve 600*.2sqrt{600^2+600^2}

$$600 \times .2 \sqrt{ { 600 }^{ 2 } + { 600 }^{ 2 } }$$

Evaluate

$$72000\sqrt{2}\approx 101823.376490863$$

Solution Steps

Multiply 0.2 and 600 to get 120.

$$120\sqrt{600^{2}+600^{2}}$$

Calculate 600 to the power of 2 and get 360000.

$$120\sqrt{360000+600^{2}}$$

Calculate 600 to the power of 2 and get 360000.

$$120\sqrt{360000+360000}$$

Add 360000 and 360000 to get 720000.

$$120\sqrt{720000}$$

Factor 720000=600^{2}\times 2. Rewrite the square root of the product \sqrt{600^{2}\times 2} as the product of square roots \sqrt{600^{2}}\sqrt{2}. Take the square root of 600^{2}.

$$120\times 600\sqrt{2}$$

Multiply 120 and 600 to get 72000.

$$72000\sqrt{2}$$