simplify.\n2\\sqrt{175}

Explanation:

Step1: Prime - factorize 175

$175 = 25\times7$

Step2: Rewrite the square - root

$2\sqrt{175}=2\sqrt{25\times7}$

Step3: Use the square - root property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ ($a = 25$, $b = 7$)

$2\sqrt{25\times7}=2\times\sqrt{25}\times\sqrt{7}$

Step4: Evaluate $\sqrt{25}$

Since $\sqrt{25}=5$, then $2\times\sqrt{25}\times\sqrt{7}=2\times5\times\sqrt{7}$

Step5: Calculate the product

$2\times5\times\sqrt{7}=10\sqrt{7}$

Answer:

$10\sqrt{7}$