How do you simplify $7sqrt600$ ?

Question

1702 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-18T19:23:49

You need to decouple your root:

$7sqrt(6*100)$
$7sqrt(6*10*10)$

As we have a squared number inside a square root, we can take it out, like this:

$7*10sqrt(6*10)$
$70sqrt(60)$

However, we can keep on simplifying:

$70sqrt(4*15)$
$70sqrt(2*2*15)$
$70*2sqrt(15)$

Final answer would be $140sqrt(15)$

How do you simplify 7sqrt6007sqrt600?