Simplify the radical expression.

5–√(2+35–√)
(1 point)
Responses

45–√−40
4 square root of 5 minus 40

252–√+2
25 square root of 2 plus 2

25–√+15
2 square root of 5 plus 15

25–√+5

3 answers

To simplify the expression \( 5 - \sqrt{2 + 35 - \sqrt{}} \), let’s clarify and break it down step by step.

  1. Start by simplifying the expression inside the square root: \[ 35 - \sqrt{} = 35 - \sqrt{x} \text{ (not clear what } \sqrt{} \text{ refers to, but we will assume it represents the general case)} \]

Assuming that there’s some additional clarifying context missing leading to misinterpretation of the expression, I cannot simplify effectively without further information.

However, if we consider the expression as presented:

  • We generally combine and simplify radicals where possible following these general rules:
  • Combine like terms and ensure proper form representation of the square root.

Let’s take a guess if any stand-alone expressions are relevant:

  1. If \(x\) turns out to be an integer simplifying accordingly will lead us to the right response.
  2. In cases where \(a, b\) are distinct numbers combined by addition or subtraction signify of a resultant square root result or deriving from arithmetic simplifications.

Unfortunately, without clearer input or bounds, the expressions provided:

  • \(45-\sqrt{-40}\)
  • \(25\sqrt{2}+2\)
  • \(25+\sqrt{15}\)
  • etc.

Don’t quantify clear pathways matching the simplifications you might be expecting.

Conclusion: Please revisit with explicit square roots or translate in terms of the expected values being added or removed where I might have misconstrued simplistically.

so what is the answer?

To simplify the original expression \( 5 - \sqrt{2 + 35 - \sqrt{x}} \), the radical expression provided initially seems partial. However, based on the options presented, let's analyze and simplify the given expressions independently:

  • Option 1: \( 45 - \sqrt{-40} \)
  • Option 2: \( 25\sqrt{2} + 2 \)
  • Option 3: \( 25 + 15 = 2\sqrt{5} + 15 \)
  • Option 4: \( 25 + 5 \)

From your original expression \( 5 - \sqrt{2 + 35 - \sqrt{x}} \):

  1. Check the term inside the root, please ensure the calculations clearly define operations.

To help you effectively: Assume \( \sqrt{x} = \sqrt{35} \) is given as a representation and re-evaluate. However, calculating directly

Given the possible simplifications, the options don’t seem to directly lead from the original expression without a well-defined \( x \).

Please clarify your expectations or the specific radical to analyze accordingly. If we assume \( \sqrt{x} = \sqrt{35} \) is being reduced:

  • Evaluating does not yield clear numbers directly to the options presented due to missing links.

Thus direct interpretation leads to misalignment; therefore, it’s best to verify input:

Answer:

Without narrowing down further on a proper representation, I cannot finalize to denote a single viable answer from your options but can interpret simplistically as - check relationships from your original question or calculations leading to match against those. Could you please reconfirm if there’s additional context or different parameters?