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Which of the following are equal to the expression below? Check all that apply.

√49*√9

A √58
B√49*9
C 58
D 21
E √441
F 441

asked
User Mindex
by
7.0k points

2 Answers

4 votes
D because the square root of 49 is 7 multiply it by the square root of 9 which is 3 and get 21.
E because the square root of 441 is 21.
answered
User Ram Khumana
by
8.2k points
4 votes
For simplification, simplify the initial expression. √49•√9=7•3=21
Therefore, we are looking for all following numbers that are equal to 21.
A is approximately 7.6, so that is not one of them.
B, depending on where the parenthesis are, could be true. If it is √(49*9), then it is correct, as that is equivalent to √441, which is 21. If it is √(49)*9, then it is equal to 7*9, which is 63, not 21. Please check the problem and determine this based on parenthesis!
C is not correct, as is not equal to 21 (I know, kinda stupid explanation, but we proved that √49*√9=21.
D is 21, so this one is correct.
E can be simplified by evaluating the square root. √441=21, so this one is correct.
F is not correct, as it is not equal to 21.

So, no matter what, D and E are 2 correct options. Depending on parenthesis, B could also be correct.

Hope this helps!
answered
User Luke Tillman
by
7.5k points

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