Solve (-35+50:2)^2:1-101+sqrt{9*2+7}=

$$( - 35 + 50 : 2 ) ^ { 2 } : 1 - 101 + \sqrt { 9 \cdot 2 + 7 } =$$

Evaluate

$$4$$

Solution Steps

Divide 50 by 2 to get 25.

$$\frac{\left(-35+25\right)^{2}}{1}-101+\sqrt{9\times 2+7}$$

Add -35 and 25 to get -10.

$$\frac{\left(-10\right)^{2}}{1}-101+\sqrt{9\times 2+7}$$

Calculate -10 to the power of 2 and get 100.

$$\frac{100}{1}-101+\sqrt{9\times 2+7}$$

Anything divided by one gives itself.

$$100-101+\sqrt{9\times 2+7}$$

Subtract 101 from 100 to get -1.

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

Multiply 9 and 2 to get 18.

$$-1+\sqrt{18+7}$$

Add 18 and 7 to get 25.

$$-1+\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$-1+5$$

Add -1 and 5 to get 4.

$$4$$

Factor

$$2^{2}$$