Basic Math Examples

$- 4 h = \sqrt{50}$

Step 1

Divide each term in $- 4 h = \sqrt{50}$ by $- 4$ .

$\frac{- 4 h}{- 4} = \frac{\sqrt{50}}{- 4}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 4$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 4 h}{- 4} = \frac{\sqrt{50}}{- 4}$

Step 2.1.2

Divide $h$ by $1$ .

$h = \frac{\sqrt{50}}{- 4}$

$h = \frac{\sqrt{50}}{- 4}$

$h = \frac{\sqrt{50}}{- 4}$

Step 3

Simplify the right side.

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Step 3.1

Simplify the numerator.

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Step 3.1.1

Rewrite $50$ as $5^{2} \cdot 2$ .

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Step 3.1.1.1

Factor $25$ out of $50$ .

$h = \frac{\sqrt{25 (2)}}{- 4}$

Step 3.1.1.2

Rewrite $25$ as $5^{2}$ .

$h = \frac{\sqrt{5^{2} \cdot 2}}{- 4}$

$h = \frac{\sqrt{5^{2} \cdot 2}}{- 4}$

Step 3.1.2

Pull terms out from under the radical.

$h = \frac{5 \sqrt{2}}{- 4}$

$h = \frac{5 \sqrt{2}}{- 4}$

Step 3.2

Move the negative in front of the fraction.

$h = - \frac{5 \sqrt{2}}{4}$

$h = - \frac{5 \sqrt{2}}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$h = - \frac{5 \sqrt{2}}{4}$

Decimal Form:

$h = - 1.76776695 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$