SOLUTION: Simplify the following expression. square root of -6 and -42. Both numbers are next to each other with the square root sign in front of each number.

Algebra ->  Expressions-with-variables -> SOLUTION: Simplify the following expression. square root of -6 and -42. Both numbers are next to each other with the square root sign in front of each number.      Log On


   

Question 609732: Simplify the following expression.
square root of -6 and -42. Both numbers are next to each other with the square root sign in front of each number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
square root of -6 and -42.
Both numbers are next to each other with the square root sign in front of each number.
:
sqrt%28-6%29+%2A+sqrt%28-42%29
extract the square root of -1; i; multiply the values
i%2Asqrt%286%29+%2A+i%2Asqrt%2842%29 = i%5E2%2Asqrt%286%2A42%29 = -1%2Asqrt%28252%29
Factor to reveal a perfect square
-1%2Asqrt%2836%2A7%29
Extract the square root of 36
-6%2Asqrt%287%29