Evaluate Using the Given Value f(1) = square root of 3(1)+15

$f (1) = \sqrt{3 (1) + 15}$

Step 1

Multiply $3$ by $1$ .

$f (1) = \sqrt{3 + 15}$

Step 2

Add $3$ and $15$ .

$f (1) = \sqrt{18}$

Step 3

Rewrite $18$ as $3^{2} \cdot 2$ .

Factor $9$ out of $18$ .

$f (1) = \sqrt{9 (2)}$

Rewrite $9$ as $3^{2}$ .

$f (1) = \sqrt{3^{2} \cdot 2}$

Step 4

Pull terms out from under the radical.

$f (1) = 3 \sqrt{2}$