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

Question 126399: Simplify

Answer by jim_thompson5910(35256) (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,

RELATED QUESTIONS
Simplify... (answered by jim_thompson5910)

sqrt(250) (answered by london maths tutor)

simplify sqrt (8) times sqrt (2) -... (answered by radh,ashipm01)

simplify sqrt(6) (8 sqrt(5)-6... (answered by stanbon)

Simplify 8 + sqrt(24) /... (answered by edjones)

Simplify... (answered by jim_thompson5910)

Simplify. Express your answer in simplied radical form. sqrt... (answered by jim_thompson5910)

Simplify:... (answered by ikleyn)

Simplify and reduce to lowest terms (sqrt)16/(sqrt)32 and... (answered by checkley71)