Verified answer

For multiplication and division, you can execute the operation straightforwardly, obtaining

-20 sqrt(18)

but then notice that this is also

-20 sqrt(2) sqrt(9)

= -60 sqrt(2)

and that's the end of it.

When multiplying radicals there is no need for a common base, just simply multiply the numbers outside the radicals and the radicands into each other:

-20√18

Now you need to simplify the radical by thinking of two numbers that when multiplied together give 18 and one of those numbers needs to be a perfect square (number that can be square rooted and leave no remainder/decimals):

√9 x -20√2

= 3 x -20√2

= -60√2

That is now in it's simplest form (once a radical has no more perfect square factors, it is in it's simplest form).

-5√3 × 4√6

-20 √18

18= 3*3*2

-20 3√2

-60√2

-5√3 × 4√6 = -5*4*√6*3=

=-20*√18=-20*√9*2=

=-20*3*√2=-60√2

well you break the radicals into their smallest multiples that you can work with...it turns into guess work alot of the times.

on this on look at it like this

(-5)(√3)(4)(√3)(√2)=(-20)(√3)(√3)(√2)=(-20)(3)(√2)=60√2

or you can also do it like this

(-5)(4)(√3)(√6)=(-20)(√18)=(-20)(√9)(√2)=(-20)(3)(√2)=60√2

- 20 √18

-20 [ 3√2 ]

- 60√2

-20 sq rt 18 -20 sq rt 9 sq rt 2= -60 sq rt 2

Its already simplyfied. You cant symplify it more than that