1)

If y = 5, then what is the value of $10y\sqrt{  y^{3}-y^{2} }?$


A) 375

B) 450

C) 500

D) 550

Answer:

Option C

Explanation:

$10y\sqrt{  y^{3}-y^{2} } = 10 \times 5 \sqrt{  5^{3}-5^{2} } $
$=50 \times \sqrt{  125- 25}$
$= 50 \times \sqrt{  100}$
 
$= 50 \times 10 = 500$