Solve sqrt{81}-sqrt{36}+sqrt{100-3*sqrt{25}-7}

$$\sqrt { 81 } - \sqrt { 36 } + \sqrt { 100 - 3 \cdot \sqrt { 25 } - 7 }$$

Evaluate

$$\sqrt{78}+3\approx 11.831760866$$

Solution Steps

Calculate the square root of 81 and get 9.

$$9-\sqrt{36}+\sqrt{100-3\sqrt{25}-7}$$

Calculate the square root of 36 and get 6.

$$9-6+\sqrt{100-3\sqrt{25}-7}$$

Subtract 6 from 9 to get 3.

$$3+\sqrt{100-3\sqrt{25}-7}$$

Calculate the square root of 25 and get 5.

$$3+\sqrt{100-3\times 5-7}$$

Multiply -3 and 5 to get -15.

$$3+\sqrt{100-15-7}$$

Subtract 15 from 100 to get 85.

$$3+\sqrt{85-7}$$

Subtract 7 from 85 to get 78.

$$3+\sqrt{78}$$