simplify. 7\\sqrt{75}

simplify. 7\\sqrt{75}

simplify. 7\\sqrt{75}

Answer

Explanation:

Step1: Prime - factorize 75

$75 = 3\times25=3\times5^{2}$

Step2: Simplify the square - root

$\sqrt{75}=\sqrt{3\times5^{2}} = 5\sqrt{3}$

Step3: Multiply by 7

$7\sqrt{75}=7\times5\sqrt{3}=35\sqrt{3}$

Answer:

$35\sqrt{3}$