Question

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

Answer 1

$(3 - \sqrt{11} )(3 + \sqrt{11} )$

Use the identity (a-b)(a+b)=a²-b²

• a = 3
• b = √11

${3}^{2} - { \sqrt{11 }^{2} }$

$9 - 11$

$- 2$

Thus, Option A is the correct choice!!~

Answer 2

Answer:

-2

Step-by-step explanation:

Apply the difference of two squares formula:

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

Therefore:

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

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

$\displaystyle \large{(\sqrt{a})^2 = a}$