How do you simplify $4sqrt6(7sqrt6 - 4sqrt5)$ ?

Question

1154 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-07T23:02:27

You first use the distributive property to work out the parentheses:

$=4sqrt6*7sqrt6-4sqrt6*4sqrt5$

$=4*7*sqrt6*sqrt6-4*4*sqrt6*sqrt5$

$=28*(sqrt6)^2-16*sqrt(6*5)$

$=28*6-16sqrt30$

$=168-sqrt30$

How do you simplify 4sqrt6(7sqrt6 - 4sqrt5)4sqrt6(7sqrt6 - 4sqrt5)?