Calculus Examples

$\frac{\sqrt{0^{2} + 70^{2}}}{2} + \frac{200 - 0}{4}$

Step 1

Simplify the expression.

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Step 1.1

Multiply $- 1$ by $0$ .

$\frac{\sqrt{0^{2} + 70^{2}}}{2} + \frac{200 + 0}{4}$

Step 1.2

Add $200$ and $0$ .

$\frac{\sqrt{0^{2} + 70^{2}}}{2} + \frac{200}{4}$

Step 2

Simplify each term.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raising $0$ to any positive power yields $0$ .

$\frac{\sqrt{0 + 70^{2}}}{2} + \frac{200}{4}$

Step 2.1.2

Raise $70$ to the power of $2$ .

$\frac{\sqrt{0 + 4900}}{2} + \frac{200}{4}$

Step 2.1.3

Add $0$ and $4900$ .

$\frac{\sqrt{4900}}{2} + \frac{200}{4}$

Step 2.1.4

Rewrite $4900$ as $70^{2}$ .

$\frac{\sqrt{70^{2}}}{2} + \frac{200}{4}$

Step 2.1.5

Pull terms out from under the radical, assuming positive real numbers.

$\frac{70}{2} + \frac{200}{4}$

Step 2.2

Divide $70$ by $2$ .

$35 + \frac{200}{4}$

Step 2.3

Divide $200$ by $4$ .

$35 + 50$

Step 3

Add $35$ and $50$ .

$85$