Question

simplify √72-3√12+√192

Answer 1

goodmorning

Answer 2

first thing we need to do is to break down the surds so they are the same rooted number

Answer 3

e.g \[\sqrt{18}\]
=
\[3\sqrt{2}\]

Answer 4

ok

Answer 5

so what can sqrt 72 be broken down to?

Answer 6

9?

Answer 7

hint: 36 could be one factor

Answer 8

9 is good but we need to find the largest one which is 36!!

Answer 9

ok!

Answer 10

\[\sqrt{72} = 6\sqrt{2}\]

Answer 11

now can you do sqrt 12?

Answer 12

2 sqrt 3?

Answer 13

good!!
now for sqrt 192?

Answer 14

i dont kno

Answer 15

just keep trying all the \[2^{2}
3^{2}\]

Answer 16

its pretty much trial and error
but hint is 64

Answer 17

ok thanks

Answer 18

now can you solve the question?

Answer 19

\[6\sqrt{2} - 6\sqrt{3} + 8\sqrt{3}\]

Answer 20

Do you understand it now?

Answer 21

yea thanks

Answer 22

if you think my answer helped you click best response
Thanks