Question

question 1-3
simplify the expression \\(\sqrt{75}\\).
\\(\circ\\) \\(3\sqrt{5}\\)
\\(\circ\\) \\(3\sqrt{25}\\)
\\(\circ\\) \\(5\sqrt{3}\\)
\\(\circ\\) \\(5\sqrt{15}\\)

Explanation:

Step1: Factor 75 into square factor

$75 = 25 \times 3$

Step2: Split root into product of roots

$\sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3}$

Step3: Simplify $\sqrt{25}$

$\sqrt{25} = 5$, so $\sqrt{75} = 5\sqrt{3}$

Answer:

C. $5\sqrt{3}$