Simplify the following expression. 512−−√−7675−−−√+1175−−√ (1 point) Responses 95–√ 9 square root of 5 93–√ 9 square root of 3 13879−−−√ 13 square root of 879 −403–√
To simplify the given expression, we can perform the square roots first.
√512 = √(256*2) = √256 * √2 = 16√2
√7675 = √(25*307) = 5√307
√1175 = √(25*47) = 5√47
So, the simplified expression becomes:
16√2 - 5√307 + 5√47
Therefore, the correct response is:
13879−−−√
13 square root of 879