SOLUTION: sqrt (-36) simplify please help me learn this and show all work.

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Question 93426This question is from textbook
: sqrt (-36) simplify please help me learn this and show all work.This question is from textbook

Answer by jim_thompson5910(28504) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Simplifying Square Roots (whole numbers only)


sqrt%28-36%29 Start with the given expression


sqrt%28-1%2A36%29 Factor out a negative 1


sqrt%28-1%29%2Asqrt%2836%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29


i%2Asqrt%2836%29 Replace sqrt%28-1%29 with i (remember i=sqrt%28-1%29)



Now lets simplify sqrt%2836%29:





Since 36 is a perfect square, we can take the square root of 36 to get a clean number

sqrt%2836%29=6

So sqrt%28-36%29 simplifies to 6%2Ai (just reintroduce i back in)