Question

simplify each of the following expressions (3+✓3) (3-✓3)

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Answer 1

Answer:

2+√2

Step-by-step explanation:

(3+√3)(3+√3)/(3-√3)(3+√3)

(3+√3)^2/3^2-√3^2

9+3+6√3/9-3

12+6√2/6

6(2+√2)/6

2+√2

Answer 2

ANSWER✔

$\large\underline\bold{GIVEN,}$

$\sf\dashrightarrow (3+ \sqrt{3})(3- \sqrt{3})$

✯IDENTITY IN USE,

$\large{\boxed{\bf{ \star\:\: (a+b)(a-b)= a^2-b^2 \:\: \star}}}$

$\large\underline\bold{SOLUTION,}$

$\sf\implies (3+ \sqrt{3})(3- \sqrt{3})$

$\sf\implies (3)^2-(\sqrt{3})^2\:---\boxed{using\:above\:identity}$

$\sf\implies 9- 3$

$\sf\implies 6$

$\large{\boxed{\bf{ \star\:\: 6\:\: \star}}}$

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