SOLUTION: Can you explain how to answer: {{{ sqrt(44/9) * sqrt(18/7) * sqrt(35/72)}}} Thank you!

Algebra ->  Rational-functions -> SOLUTION: Can you explain how to answer: {{{ sqrt(44/9) * sqrt(18/7) * sqrt(35/72)}}} Thank you!      Log On


   

Question 338476: Can you explain how to answer:
+sqrt%2844%2F9%29+%2A+sqrt%2818%2F7%29+%2A+sqrt%2835%2F72%29
Thank you!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%2844%2F9%29+%2A+sqrt%2818%2F7%29+%2A+sqrt%2835%2F72%29
Since they're all under the sqrt sign, multiply them, then simplify.
= sqrt%2844%2A18%2A35%2F%289%2A7%2A72%29%29
Cancel 18
= sqrt%2844%2A35%2F%289%2A7%2A4%29%29
Cancel 4
= sqrt%2811%2A35%2F%289%2A7%29%29
Cancel 7
= sqrt%2811%2A5%2F%289%29%29
= sqrt%2855%2F9%29
= sqrt%2855%29%2F3