Question

Simplify the radical expression. 5–√(2+35–√) (1 point) Responses 25–√+5 2 square root of 5 plus 5 25–√+15 2 square root of 5 plus 15 252–√+2 25 square root of 2 plus 2 45–√−40 4 square root of 5 minus 40

Answer 1

To simplify the expression \( 5 - \sqrt{2 + 35 - \sqrt{}} \), we first need to clarify the expression within the radical. It seems there might have been a misunderstanding due to the formatting, as "35–√" is not a clear mathematical term. However, let's interpret the expression as aiming to simplify \( 5 - \sqrt{2 + 35} \) or another variation.

Assuming we need to simplify \( 5 - \sqrt{2 + 35} \):

1. Calculate \( 2 + 35 \):
\[
2 + 35 = 37.
\]

2. Now substitute and simplify:
\[
5 - \sqrt{37}.
\]

However, since the original options provided are quite different, let’s check a few interpretations to see if any match the options given:

If we consider that the notation might actually refer to simplifying mixed forms of square roots involving specific values, we might not directly simplify to any of the provided responses without the complete initial expression.

None of the responses you listed seem to precisely correspond to a clean simplification of a straightforward radical expression, indicating that the problem might need clearer formatting or context.

To clarify, can you provide the original radical expression again perhaps in a more standard format? That way, we can work through the simplification step-by-step accurately.