Solve sqrt{(300^2div2)}

$$\sqrt{ ( { 300 }^{ 2 } \div 2) }$$

Evaluate

$$150\sqrt{2}\approx 212.132034356$$

Solution Steps

Calculate 300 to the power of 2 and get 90000.

$$\sqrt{\frac{90000}{2}}$$

Divide 90000 by 2 to get 45000.

$$\sqrt{45000}$$

Factor 45000=150^{2}\times 2. Rewrite the square root of the product \sqrt{150^{2}\times 2} as the product of square roots \sqrt{150^{2}}\sqrt{2}. Take the square root of 150^{2}.

$$150\sqrt{2}$$