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Rationalize \(\frac{2\sqrt{3} + 3 \sqrt{2}}{3\sqrt{2} - 2 \s...

Rationalize 23+323223

A.

5 - 26

B.

5 + 26

C.

56

D.

5

Correct answer is B

23+323223

= 23+323223 x 32+233223

4(3)+9(2)+2(6)69(2)4(3)

\frac{12 + 18 + 12\sqrt{6}}{1`8 - 12}

= \frac{30 + 12\sqrt{6}}{6}

= 5 + 2\sqrt{6}