Question

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

Answer 1

`(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!!~

Answer 2

-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.

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Summary

• Difference of Two Squares

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

• Squared Surd

`\displaystyle \large{(√(a))^2 = a}`