Question

simplify (√3+√11)² ( √3-√11)²​

Answer 1

Answer:

your answer is in the attachment

Answer 2

Answer:

64 is the value of $(\sqrt{3} +\sqrt{11} )^2 (\sqrt{3} - \sqrt{11} )^2$.

Step-by-step explanation:

Explanation:

According to the question we need to simplify the $(\sqrt{3} +\sqrt{11} )^2 (\sqrt{3} - \sqrt{11} )^2$

For this question we use the formula $(a^2 -b^2) = (a+b)(a-b)$

Step 1:

From the question we have,

$(\sqrt{3} +\sqrt{11} )^2 (\sqrt{3} - \sqrt{11} )^2$

This can be written as,

$[(\sqrt{3} +\sqrt{11} ) (\sqrt{3} - \sqrt{11} )]^2$

As we know that $(a^2 -b^2) = (a+b)(a-b)$.

⇒$[(\sqrt{3})^2- (\sqrt{11})^2 ]^2$

⇒$[3 - 11]^2$ = $(-8)^2$ = 64.

Final answer:

Hence, the value of $(\sqrt{3} +\sqrt{11} )^2 (\sqrt{3} - \sqrt{11} )^2$ is 64.

#SPJ2