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Select the correct answer. What is this expression in simplified form? 2√2-7√18 OA 18√5 OB. 84√2 OC. 84 OD. 14sqrt6​

User GeertVc
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1 Answer

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23 votes

Final answer:

The simplified form of the expression 2√2 - 7√18 is -19√2. This result does not match any of the answer choices provided, indicating a possible error in the options or question transcription.

Step-by-step explanation:

To simplify the expression 2√2 - 7√18, we first need to simplify √18. We can write √18 as √(9×2) which is the same as √9 × √2. Since √9 is 3, we have the expression √18 simplified to 3√2.

Now we substitute 3√2 back into the original expression:

  • 2√2 - 7(3√2)
  • 2√2 - 21√2

Since both terms involve √2, we can combine them by subtracting their coefficients:

  • (2 - 21)√2
  • -19√2

Therefore, the expression in simplified form is -19√2.

None of the given options OA 18√5, OB 84√2, OC 84, or OD 14√6 match our simplified result. It may be possible that there is a mistake in the options provided or in the transcription of the question.

User Tsemer
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