Question

Rationalise the denominator​

Answer 1

Answer:

hope it helps you........

Answer 2

Answer:

11 - 6√3

Step-by-step explanation:

Rationalizing is nothing but we have to multiple the no. by the same term with opposite sign.

Solution:

$\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \\ \\ \frac{(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3} )}{(7 + 4 \sqrt{3})(7 - 4 \sqrt{3} )} \\ \\ \frac{35 - 20 \sqrt{3} + 14 \sqrt{3} - 8.3}{ {(7)}^{2} - {(4 \sqrt{3} )}^{2} } \\ \\ \frac{35 - 24 - 6 \sqrt{3} }{49 - 16.3} \\ \\ \frac{11 - 6 \sqrt{3} }{49 - 48} \\ \\ 11 - 6 \sqrt{3}$

Hence, 11 -6√3 is the simplified value.