Question

rationalize the denominator:- 2√7 / √11
Class 9th Maths​

Answer 1

Answer:

Using Identity: (a – b)(a+b) = a2 – b2

(i) (11 + √11) (11 – √11)

= 112 – (√11)2

= 121 – 11

= 110

Answer 2

$\large{\bold{ \frac{2 \sqrt{7} }{ \sqrt{11} } }}$

$= \bold{\frac{2 \sqrt{7} \times \sqrt{11} }{ \sqrt{11} \times \sqrt{11} } }$

$= \bold{ \frac{2 \sqrt{7 \times 11} }{ {( \sqrt{11} })^{2} } }$

$= \large \boxed{\bold{ \frac{2 \sqrt{77} }{11} }}$