Solve sqrt{36.85^2-30^2}=

$$\sqrt{ 36. { 85 }^{ 2 } - { 30 }^{ 2 } } =$$

Evaluate

$$360\sqrt{2}\approx 509.116882454$$

Solution Steps

Calculate 85 to the power of 2 and get 7225.

$$\sqrt{36\times 7225-30^{2}}$$

Multiply 36 and 7225 to get 260100.

$$\sqrt{260100-30^{2}}$$

Calculate 30 to the power of 2 and get 900.

$$\sqrt{260100-900}$$

Subtract 900 from 260100 to get 259200.

$$\sqrt{259200}$$

Factor 259200=360^{2}\times 2. Rewrite the square root of the product \sqrt{360^{2}\times 2} as the product of square roots \sqrt{360^{2}}\sqrt{2}. Take the square root of 360^{2}.

$$360\sqrt{2}$$