if in doubt, break every number down to its prime factors (this isn't the cleverest way, but will always work...i think)
you try one
I'm trying to study Algebra on my own and need help with simplifying radicals (pre-algebra). I watched a video on khan academy and got confused. Could someone at least give 3-10 examples of simplifying radicals.
1. 8\sqrt{}80
2. 6\sqrt{}243
3.5\sqrt{}99
And more examples if possible
its good that you are watching khan academy videos but do you have a standard algebra 1 textbook? you need to read about radicals. the books have lots of step by step examples and problems. those videos are only extra help while reading and doing problems in an algebra textbook.
you can get a used textbook on amazon for $5 us dollars.... just look at the older used copys. I used Ron Larson in class.
Amazon.com: Elementary and Intermediate Algebra A Combined Course (9780618753543): Larson; Hostetler: Books
you can also try ck12 algebra books. altho I have not personally read the algebra 1 book. I did read some of the the trig book and it was close to my textbook.
CK12.ORG - FlexBooks
2\sqrt{338}=2\sqrt{169*2}=2*13\sqrt{2}=26\sqrt{2}
sqrt{24}=sqrt{4*6}=2\sqrt{6}
5\sqrt{44}
You must transform radicand into product of numbers, one of these must be a number of 2nd root:
our radical is 44; 44=11*4; 4=2^2; so:
5\sqrt{44}=5\sqrt{11}*sqrt{4}
sqrt{4}=2, `cause 2^2=4; so:
5\sqrt{11}*sqrt{4}=5\sqrt{11}*2=5*2\sqrt{11}=10\sq rt{11}
Will have a question - turn to me in the future