Question

Simplifying this expression?

5√24 * 3√10?

Answer 1

You can combine the insides of the square roots since they are being multiplied:
5sqrt(24)*3sqrt(10)=15sqrt(240)

Answer 2

can you simplify it further or is 240 it..? Cause thats where i got confused. I got 15√240 as well.

Answer 3

Then you can separate the 240 into its factors:
240=2*120=2*2*60=2*2*2*30=2*2*2*2*15=2*2*2*2*3*5=2^4*15
Since this is all within a square root, every pair can be brought out:
sqrt(2^4)=sqrt((2^2)*(2^2))=4
And you leave anything inside that has no pairs.

Answer 4

okay thankyou

Answer 5

Yep no problem