Question

express in simplest radical form. \\(sqrt{63}\\)

Explanation:

Step1: Factor 63 into square factor

$63 = 9 \times 7$

Step2: Split radical using product rule

$\sqrt{63} = \sqrt{9 \times 7} = \sqrt{9} \times \sqrt{7}$

Step3: Simplify $\sqrt{9}$

$\sqrt{9} = 3$

Step4: Combine terms

$3 \times \sqrt{7}$

Answer:

$3\sqrt{7}$