Question

simplify.\\(sqrt{245}\\)

Explanation:

Step1: Factor 245 into prime factors

$245 = 49 \times 5 = 7^2 \times 5$

Step2: Apply square root property

$\sqrt{245} = \sqrt{7^2 \times 5} = \sqrt{7^2} \times \sqrt{5}$

Step3: Simplify the perfect square

$\sqrt{7^2} = 7$, so $\sqrt{245} = 7\sqrt{5}$

Answer:

$7\sqrt{5}$