Calculus Examples

$84 = k \sqrt{16}$

Step 1

Rewrite the equation as $k \sqrt{16} = 84$ .

$k \sqrt{16} = 84$

Step 2

Divide each term in $k \sqrt{16} = 84$ by $\sqrt{16}$ and simplify.

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Step 2.1

Divide each term in $k \sqrt{16} = 84$ by $\sqrt{16}$ .

$\frac{k \sqrt{16}}{\sqrt{16}} = \frac{84}{\sqrt{16}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $\sqrt{16}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{k \sqrt{16}}{\sqrt{16}} = \frac{84}{\sqrt{16}}$

Step 2.2.1.2

Divide $k$ by $1$ .

$k = \frac{84}{\sqrt{16}}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify the denominator.

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Step 2.3.1.1

Rewrite $16$ as $4^{2}$ .

$k = \frac{84}{\sqrt{4^{2}}}$

Step 2.3.1.2

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

$k = \frac{84}{4}$

Step 2.3.2

Divide $84$ by $4$ .

$k = 21$