Question

How to multiply sqrts

Answer 1

@kropot72 How do you multiply/divide sqrts?

Answer 2

@jim_thompson5910

Answer 3

do you have any examples to work with?

Answer 4

3*sqrt 12 * sqrt 6

Answer 5

the first thing you do is multiply the numbers that are inside the roots

Answer 6

what do you get

Answer 7

sqrt 72

Answer 8

So is it 3 * sqrt 72?

Answer 9

It could be yes but if you simplify further you can end up with a different answer.

Answer 10

for example since you:\[72 = 9 \times 8\]
\[3 \times \sqrt{9 \times 8} = 3 \times \sqrt{9} \times \sqrt {8} = 3 \times 3 \times \sqrt{8} = 9\sqrt{8}\]

Answer 11

\[\Large \sqrt{72} = \sqrt{36*2}\]

\[\Large \sqrt{72} = \sqrt{36}*\sqrt{2}\]

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

Answer 12

Notice how I factored out the largest perfect square factor 36

Answer 13

I did notice it!

Answer 14

So what do I do next 3* 6 sqrt 2?
then it'd be 18 sqrt 2

Answer 15

I forget the original problem. It was 3*sqrt 12 * sqrt 6 right?

Answer 16

I had to scroll up, but I'm not sure.

Answer 17

Yes that's the original

Answer 18

so yes, the answer to that is \[\Large 18\sqrt{2}\]

Answer 19

Thanks!