Question

how do i simplify roots ?
here is an example:

( -√(7k) -6 )( 3√(7k) -6)

Answer 1

just multiply the roots

Answer 2

\[-\sqrt{7k}*3\sqrt{7k}=-3(7k)\]

Answer 3

\[6\sqrt{7k}-18\sqrt{7k}=-12\sqrt{7k}\]

Answer 4

\[6*6=36\]

Answer 5

\[-21k-12\sqrt{7k}+36\]

Answer 6

that is your solution did you understand it @eric.schult

Answer 7

where did -21K come from ?
m answer was: -15√(7k) +36

Answer 8

the first step did you see it when you multiply roots the root sign goes away

Answer 9

and as you can see -3*7 is 21

Answer 10

i have never multiplied roots . i have only recently learned how to add and subtract them.

Answer 11

the thing is when you multiply roots they cancel out

Answer 12

so then for example : 5√(12) * 4√(12) becomes 20√(12) and then 20*12 ?

Answer 13

where as : 3√(45) * 5 becomes 15√(45) and nothing more. correct ?

Answer 14

thanks :)

Answer 15

yw

Answer 16

what about this situation?

4√(3x) * -7√(3)

a variable exists in only 1

Answer 17

now that is going to be
\[-28\sqrt{3x}\sqrt{3}\]

Answer 18

would the answer be : -28√(3^2x)
and then -28*3√(x) ?

Answer 19

excellent @eric.schult

Answer 20

:) thanks again

Answer 21

that is because \[\sqrt{3x}=\sqrt{3}\sqrt{x}\]