Solve sqrt{(8+2)*3}+10^3:10^2-1^5=

$$\sqrt { ( 8 + 2 ) \cdot 3 } + 10 ^ { 3 } : 10 ^ { 2 } - 1 ^ { 5 } =$$

Evaluate

$$\sqrt{30}+9\approx 14.477225575$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 3 to get 1.

$$\sqrt{\left(8+2\right)\times 3}+10^{1}-1^{5}$$

Add 8 and 2 to get 10.

$$\sqrt{10\times 3}+10^{1}-1^{5}$$

Multiply 10 and 3 to get 30.

$$\sqrt{30}+10^{1}-1^{5}$$

Calculate 10 to the power of 1 and get 10.

$$\sqrt{30}+10-1^{5}$$

Calculate 1 to the power of 5 and get 1.

$$\sqrt{30}+10-1$$

Subtract 1 from 10 to get 9.

$$\sqrt{30}+9$$