Question

Simplify

3+√2
--------
3 -√2​

Answer 1

Answer :-

$\\ \rm\longmapsto \frac{3 + \sqrt{2} }{3 - \sqrt{2} } \\ \\ \rm\longmapsto \frac{(3 + \sqrt{2} )(3 - \sqrt{2}) }{(3 - \sqrt{2})(3 - \sqrt{2}) } \\ \\ \rm\longmapsto \frac{(3 {)}^{2} - {( \sqrt{2}) }^{2} }{(3 - \sqrt{2} {)}^{2} } \\ \\ \rm\longmapsto \frac{3 - 2}{ {3}^{2} - 2 \times 3 \times \sqrt{2} + {( \sqrt{2}) }^{2} } \\ \\ \rm\longmapsto \frac{1}{9 - 6 \sqrt{2} + 2 } \\ \\ \rm\longmapsto \frac{1}{7 + 6 \sqrt{2} }$

Answer 2

Answer:

3+√2 3+√2

--------- x

3-√2 3+√2

(3+√2)^2

---------------

(3)^2 - (√2)^2

NOW USE THE EQUATION ((a+b)) whole square

3^2 + 2.3.√2 + √2^2

-----------------------------------

3x3x3 - √2x√2

9 + 6√2 + 2

--------------------

27 - 2

8 + 6√2

-------------

25

Step-by-step explanation:

Sorry to say but it's the answer of rationalize the denominator.