Question #19389
1 Answer
Dec 1, 2017
Explanation:
Let's first think of the positive square root of
- We look for its factors. They are
#1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60# - We look for the highest perfect square in the factors, if it exists. We find that it is
#4# . - We rewrite the square root as a product of the highest square number (In this case,
#4# ) and its other factor (In this case,#15# .)
This would give us#sqrt(4*15)# . - Now we square root out the perfect square. Since the square root of
#4# is#2# , we get:#2sqrt(15)#
However, we want the negative square root of that. Just simply multiply that by
And that is your answer.