Solve sqrt{225}*sqrt{100}-sqrt{81}+sqrt{125}

$$\sqrt { 225 } \times \sqrt { 100 } - \sqrt { 81 } + \sqrt { 125 }$$

Evaluate

$$5\sqrt{5}+141\approx 152.180339887$$

Solution Steps

Calculate the square root of 225 and get 15.

$$15\sqrt{100}-\sqrt{81}+\sqrt{125}$$

Calculate the square root of 100 and get 10.

$$15\times 10-\sqrt{81}+\sqrt{125}$$

Multiply 15 and 10 to get 150.

$$150-\sqrt{81}+\sqrt{125}$$

Calculate the square root of 81 and get 9.

$$150-9+\sqrt{125}$$

Subtract 9 from 150 to get 141.

$$141+\sqrt{125}$$

Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.

$$141+5\sqrt{5}$$