Question

question
express in simplest radical form.
$\frac{sqrt{2646}}{sqrt{9}}$

Explanation:

Step1: Simplify denominator

$\sqrt{9} = 3$

Step2: Simplify numerator radical

First factor 2646: $2646 = 9 \times 294 = 9 \times 9 \times 34 = 9^2 \times 34$
$\sqrt{2646} = \sqrt{9^2 \times 34} = 9\sqrt{34}$

Step3: Divide simplified terms

$\frac{9\sqrt{34}}{3} = 3\sqrt{34}$

Answer:

$3\sqrt{34}$