SOLUTION: please help me simplify this problem and show all work sqrt (-25) simplify

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Question 93428This question is from textbook
: please help me simplify this problem and show all work sqrt (-25) simplify This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Simplifying Square Roots (whole numbers only)


sqrt%28-25%29 Start with the given expression


sqrt%28-1%2A25%29 Factor out a negative 1


sqrt%28-1%29%2Asqrt%2825%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29


i%2Asqrt%2825%29 Replace sqrt%28-1%29 with i (remember i=sqrt%28-1%29)



Now lets simplify sqrt%2825%29:





Since 25 is a perfect square, we can take the square root of 25 to get a clean number

sqrt%2825%29=5

So sqrt%28-25%29 simplifies to 5%2Ai (just reintroduce i back in)