Solve (-3.5+50:2)^2:1-101+sqrt{9*2+7}=

$$( - 3.5 + 50 : 2 ) ^ { 2 } : 1 - 101 + \sqrt { 9 \cdot 2 + 7 } =$$

Evaluate

$$366.25$$

Solution Steps

Divide 50 by 2 to get 25.

$$\frac{\left(-3.5+25\right)^{2}}{1}-101+\sqrt{9\times 2+7}$$

Add -3.5 and 25 to get 21.5.

$$\frac{21.5^{2}}{1}-101+\sqrt{9\times 2+7}$$

Calculate 21.5 to the power of 2 and get 462.25.

$$\frac{462.25}{1}-101+\sqrt{9\times 2+7}$$

Anything divided by one gives itself.

$$462.25-101+\sqrt{9\times 2+7}$$

Subtract 101 from 462.25 to get 361.25.

$$361.25+\sqrt{9\times 2+7}$$

Multiply 9 and 2 to get 18.

$$361.25+\sqrt{18+7}$$

Add 18 and 7 to get 25.

$$361.25+\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$361.25+5$$

Add 361.25 and 5 to get 366.25.

$$366.25$$

Factor

$$\frac{5 \cdot 293}{2 ^ {2}} = 366\frac{1}{4} = 366.25$$