SOLUTION: Simplify {{{sqrt(8)*sqrt(250)}}}

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Question 126399: Simplify Answer by jim_thompson5910(28476)   (Show Source): You can put this solution on YOUR website! Start with the given expression Combine the roots. Remember, Multiply Now let's simplify this expression The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. When you take the square root of this perfect square, you will get a rational number. So let's list the factors of 2000 Factors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000 Notice how 400 is the largest perfect square, so lets factor 2000 into 400*5 Factor 2000 into 400*5 Break up the square roots using the identity Take the square root of the perfect square 400 to get 20 -------------------------------- Answer So the expression simplifies to In other words,