Question

Can someone please help me simplify 5root16 - 3root4? Thanks!

Answer 1

sq root??

Answer 2

yes

Answer 3

\(\Large 5\sqrt{16} -3\sqrt{4}=5\sqrt{4^2}-3\sqrt{2^2}=5\times4-3\times2=14\)

Answer 4

Thank you, so would that be just 14 for a final answer? Wouldn't we incorporate the exponents somehow in the final answer? if we just do 5*4, what is happening to the fact that the 4 is really a 4^2??

Answer 5

the final answer: \(\Large 5\sqrt{16} -3\sqrt{4}=5\times4 - 3\times 2=14\)

Answer 6

So do the exponents (^2) cancel each other out because they match or what happens with them?

Answer 7

because it is a easy calculation, so we just do that

Answer 8

oh, ok. Thank you for all the help!