Solve 7-sqrt{25}+2(3+2^2)div1/2

$$7 - \sqrt { 25 } + 2 ( 3 + 2 ^ { 2 } ) \div \frac { 1 } { 2 }$$

Evaluate

$$30$$

Solution Steps

Calculate the square root of 25 and get 5.

$$7-5+\frac{2\left(3+2^{2}\right)}{\frac{1}{2}}$$

Subtract 5 from 7 to get 2.

$$2+\frac{2\left(3+2^{2}\right)}{\frac{1}{2}}$$

Calculate 2 to the power of 2 and get 4.

$$2+\frac{2\left(3+4\right)}{\frac{1}{2}}$$

Add 3 and 4 to get 7.

$$2+\frac{2\times 7}{\frac{1}{2}}$$

Multiply 2 and 7 to get 14.

$$2+\frac{14}{\frac{1}{2}}$$

Divide 14 by \frac{1}{2} by multiplying 14 by the reciprocal of \frac{1}{2}.

$$2+14\times 2$$

Multiply 14 and 2 to get 28.

$$2+28$$

Add 2 and 28 to get 30.

$$30$$

Factor

$$2\times 3\times 5$$