Be sure you are writing out your steps. You will have to submit your shown work for each problem at the end 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 simplify each term inside the square roots first.
512 - √7675 + √1175
√7675 can be simplified by finding the perfect square factors of 7675. The largest perfect square that divides 7675 is 25, which gives √7675 = √25 * √307 = 5√307.
√1175 can be simplified by finding the perfect square factors of 1175. The largest perfect square that divides 1175 is 25, which gives √1175 = √25 * √47 = 5√47.
Now our expression becomes:
512 - 5√307 + 5√47
We cannot simplify it any further. Therefore, the simplified expression is:
512 - 5√307 + 5√47.