Given 4√50 - 2√8 observe that √50 =√25*2 and √8=√4*2 and that 25 and 4 are perfect squares, so I simplify the expression to 100√2 - 8√2 I can then combine these terms to get 92√2 which is my answer.
A.the student erroneously attempted to combine terms with different indices
B.the student did not properly simplify the radicals
C.the student did not properly combine the radical terms
D.the work shown above is correct and there is no error
I need help please, any and all is appreciated.
I will not try to figure out where the student went wrong, but rather just do it the right way:
4√50 - 2√8
= 4(√25)(√2) - 2(√4)(√2)
= 4(5)√2 - 2(2)√2
= 20√2 - 4√2
= 16√2
Based on the explanation you provided, the correct answer is option D. The work shown above is correct and there is no error.
You correctly simplified √50 to √25 * √2 and √8 to √4 * √2. Then, recognizing that 25 and 4 are perfect squares, you simplified further to get 4√2 * 2√2 which is equal to 8√2. Finally, you combined the like terms 100√2 and -8√2 to obtain 92√2, which is the simplified expression.
Well done!