Question

rationalize the given figure
​

Answer 1

Answer:

$\underline{\underline{\mathcal{\pink{RATIONALIZATION}}}}$

Step-by-step explanation:

$\frac{1+\sqrt{2}}{2-\sqrt{2}}$

$\large\frac{1+\sqrt{2}}{2-\sqrt{2}}$ X$\large\frac{2+\sqrt{2}}{2+\sqrt{2}}$

=$\large\frac{2+1\sqrt{2}+2\sqrt{2}+\sqrt{4}}{2^2-\sqrt({2})^2}$since(a+b)(a-b)=$a^2-b^2$

=$\large\frac{2+3\sqrt{2}+2}{4-2}$

=$\large\frac{\cancel{4}+3\sqrt{2}}{\cancel{2}}$

=2+3√2 ans.

Answer 2

HERES YOUR ANSWER

Hope it helps!