Solve (-3*4+9)2+sqrt{10^2-8^2-6}

$$(-3 \times 4+9)2+ \sqrt{ { 10 }^{ 2 } - { 8 }^{ 2 } -6 }$$

Evaluate

$$\sqrt{30}-6\approx -0.522774425$$

Solution Steps

Multiply -3 and 4 to get -12.

$$\left(-12+9\right)\times 2+\sqrt{10^{2}-8^{2}-6}$$

Add -12 and 9 to get -3.

$$-3\times 2+\sqrt{10^{2}-8^{2}-6}$$

Multiply -3 and 2 to get -6.

$$-6+\sqrt{10^{2}-8^{2}-6}$$

Calculate 10 to the power of 2 and get 100.

$$-6+\sqrt{100-8^{2}-6}$$

Calculate 8 to the power of 2 and get 64.

$$-6+\sqrt{100-64-6}$$

Subtract 64 from 100 to get 36.

$$-6+\sqrt{36-6}$$

Subtract 6 from 36 to get 30.

$$-6+\sqrt{30}$$