Question

Which statement below best applies to the following expression?

-4 sqrt 11 -5 sqrt 13
A.
the two terms cannot be combined because the radicands are not identical, and cannot be simplified so that they are identical
B.
the two terms cannot be combined because the indices are not identical
C.
the two terms cannot be combined because the resulting value of the subtraction would be negative
D.
the two terms may be combined

Answer 1

I I'm almost positive the correct answer is c

Answer 2

The above two terms cannot be combined because the radicands are not identical.

Explanation:

Given the expression

`-4√(11)-5√(13)`

we have to choose the statement which best applies to above expression.

The above two terms in the expression have same indices but different radicands i.e

`-4√(11)` → radicand is 11

`-5√(13)` → radicand is 13

Due to different radicand the above two terms can not be combined.

Hence, the above two terms cannot be combined because the radicands are not identical.

Hence, option A is correct