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25 votes
PLEASE SOLVE WITH EXPLANATION!
DONT ANSWER JUST FOR POINTS
:)​

PLEASE SOLVE WITH EXPLANATION! DONT ANSWER JUST FOR POINTS :)​-example-1

2 Answers

13 votes


(3 - √(11) )(3 + √(11) )

Use the identity (a-b)(a+b)=a²-b²

  • a = 3
  • b = √11


{3}^(2) - { √(11 )^(2) }


9 - 11


- 2

Thus, Option A is the correct choice!!~

User Mluker
by
8.5k points
9 votes

Answer:

-2

Explanation:

Apply the difference of two squares formula:


\displaystyle \large{(a-b)(a+b) = a^2-b^2}

Therefore:


\displaystyle \large{(3-√(11))(3+√(11)) = 3^2-(√(11))^2}\\\displaystyle \large{(3-√(11))(3+√(11)) = 9-11}\\\displaystyle \large{(3-√(11))(3+√(11)) = -2}

Therefore, -2 is the final answer.

__________________________________________________________

Summary

  • Difference of Two Squares


\displaystyle \large{(a-b)(a+b)=a^2-b^2}

  • Squared Surd


\displaystyle \large{(√(a))^2 = a}

User UlfR
by
8.0k points

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