SOLUTION: my question is: What is the sqrt of 75 and I ma trying to simply radicals. My teacher has told me that at least one the numbers must be a perfec5rt square. Example: sqrt 27 =

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Question 69921: my question is:
What is the sqrt of 75 and I ma trying to simply radicals. My teacher has told me that at least one the numbers must be a perfec5rt square. Example:
sqrt 27 = sqrt9 sqrt3 or something like that. Help please
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
The square root of 75 has 6 factors. These factors are 1,3,5,15,25, and 75. Since 75 can be written as a product of factors, for instance 3 and 25 works well because 25 is a perfect square, which can be further reduced by taking the square root.
sqrt%2875%29=sqrt%2825%2A3%29 Remember a square root of a product is equal to a
product of square roots ie sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29
sqrt%2875%29=sqrt%2825%2A3%29=sqrt%2825%29%2Asqrt%283%29 remember sqrt%2825%29=5
sqrt%2875%29=sqrt%2825%2A3%29=sqrt%2825%29%2Asqrt%283%29=5%2Asqrt%283%29