Precalculus Examples

$h (c) = \sqrt[4]{- 3 c + 75}$ ; find $h (- 2)$

Step 1

Replace the variable $c$ with $- 2$ in the expression.

$h (- 2) = \sqrt[4]{- 3 \cdot - 2 + 75}$

Step 2

Simplify $\sqrt[4]{- 3 \cdot - 2 + 75}$ .

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Step 2.1

Remove parentheses.

$\sqrt[4]{- 3 \cdot - 2 + 75}$

Step 2.2

Multiply $- 3$ by $- 2$ .

$\sqrt[4]{6 + 75}$

Step 2.3

Add $6$ and $75$ .

$\sqrt[4]{81}$

Step 2.4

Rewrite $81$ as $3^{4}$ .

$\sqrt[4]{3^{4}}$

Step 2.5

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

$3$