Question

The rationalization of 4/(3+√8) = *
4
5
4(3-√8)
1/(3+√8)​

Answer 1

Question-

Rationalize

$\frac{4}{3 + \sqrt{8} }$

Solution-

$\frac{4}{3 + \sqrt{8} } \times \frac{3 - \sqrt{8} }{3 - \sqrt{8} }$

$= \frac{12 - 4 \sqrt{8} }{ {3}^{2} - {( \sqrt{8)} }^{2} }$

$= \frac{12 - 4 \sqrt{8} }{9 - 8}$

$= 12 - 4 \sqrt{8}$

Or

$= 12 - 8 \sqrt{2}$

or

$= 4(3 + 2 \sqrt{2} )$

Answer 2

Answer:

4(3-√8)

Step-by-step explanation:

4 3 -√8 4(3-√8)

---------- x ---------- =. ------------------

3 + √8. 3-√8. 3^2 - (√8)^2

4(3-√8)

=. --------------- = 4(3-√8)

9 - 8