Question

simplify the radical expression 500see drawing

Answer 1

what factors of 500 are also perfect squares?

Answer 2

22.36

Answer 3

100 and 5?

Answer 4

100 is a perfect square, good

5 is not a perfect square

Answer 5

but

\[\Large \sqrt{500} = \sqrt{100*5}\]

\[\Large \sqrt{500} = \sqrt{100}*\sqrt{5}\]

\[\Large \sqrt{500} = 10*\sqrt{5}\]

hopefully you see how I did all that?

Answer 6

50 and 10?

Answer 7

the reason we factored 500 into 100*5 is to take advantage of the fact that \[\Large \sqrt{x*y} = \sqrt{x}*\sqrt{y}\]

Answer 8

oh ok so the answer would be this

Answer 9

only one factor needs to be a perfect square (not both)