Solve 5*5/2+7*(5sqrt{2})-2

$$\frac { 5 \times 5 } { 2 } + 7 \times ( 5 \sqrt { 2 } ) - 2$$

Evaluate

$$35\sqrt{2}+\frac{21}{2}\approx 59.997474683$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25}{2}+7\times 5\sqrt{2}-2$$

Multiply 7 and 5 to get 35.

$$\frac{25}{2}+35\sqrt{2}-2$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{25}{2}+35\sqrt{2}-\frac{4}{2}$$

Since \frac{25}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-4}{2}+35\sqrt{2}$$

Subtract 4 from 25 to get 21.

$$\frac{21}{2}+35\sqrt{2}$$

Factor

$$\frac{7 {(10 \sqrt{2} + 3)}}{2} = 59.99747468305833$$