SOLUTION: I am trying to simplify radical expressions.. It says Assume that the variables are positive. Write "nonreal" if the expression does not represent a real number. The problem is sqr

Algebra ->  Radicals -> SOLUTION: I am trying to simplify radical expressions.. It says Assume that the variables are positive. Write "nonreal" if the expression does not represent a real number. The problem is sqr      Log On


   

Question 431151: I am trying to simplify radical expressions.. It says Assume that the variables are positive. Write "nonreal" if the expression does not represent a real number. The problem is sqrt( 98 ). I know the answer is 7 sqrt ( 2 ) but I am not sure how I got that answer. How do I get from sqrt ( 98 ) to 7 sqrt (2) ?
Thanks!
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Factor out the largest square divisor of 98. Since 98+=+7%5E2%2A2, sqrt%2898%29+=+sqrt%287%5E2%2A2%29+=+sqrt%287%5E2%29sqrt%282%29+=+7sqrt%282%29.