Solve 2*sqrt{10^2-8^2}+(-1)^7

$$2 \cdot \sqrt { 10 ^ { 2 } - 8 ^ { 2 } } + ( - 1 ) ^ { 7 }$$

Evaluate

$$11$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$2\sqrt{100-8^{2}}+\left(-1\right)^{7}$$

Calculate 8 to the power of 2 and get 64.

$$2\sqrt{100-64}+\left(-1\right)^{7}$$

Subtract 64 from 100 to get 36.

$$2\sqrt{36}+\left(-1\right)^{7}$$

Calculate the square root of 36 and get 6.

$$2\times 6+\left(-1\right)^{7}$$

Multiply 2 and 6 to get 12.

$$12+\left(-1\right)^{7}$$

Calculate -1 to the power of 7 and get -1.

$$12-1$$

Subtract 1 from 12 to get 11.

$$11$$

Factor

$$11$$