How do you simplify $sqrt112-sqrt63$ ?

Question

2089 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-13T16:20:29

$sqrt7$

$sqrt112 -sqrt63$

the prime factors for each square root become

$sqrt(2*2*2*2*7) -sqrt(3*3*7)$

factor out the pairs

$2*2sqrt7 -3sqrt7$

$4sqrt7 -3sqrt7$

$sqrt7$

How do you simplify sqrt112-sqrt63sqrt112-sqrt63?