Question

simplyfy (√11-√5)^2​

Answer 1

Answer:

u have to use identity (a-b)^2

Step-by-step explanation:

= a2 + b 2 + 2 a b

= root 1 1 ^ 2 + root 5 ^ 2 - 2 root 55

= 11+5 - 2root 55

= 16- 2 root 55

Answer 2

$\bf \huge \underline \blue{Answer : }$

Given:

• (√11 - √5)²

Formula Used:

• (a-b )² = a² - 2ab +b²

Solution:

$\sf \implies \: {( \sqrt{11} - \sqrt{5} })^{2} = {( \sqrt{11} })^{2} - 2( \sqrt{11} )( \sqrt{5}) + {( \sqrt{5} })^{2} \\ \\ \sf \implies \: {( \sqrt{11} - \sqrt{5} })^{2} = 11 - 2 \sqrt{55} + 5 \\ \\ \sf \implies \: {( \sqrt{11} - \sqrt{5} })^{2} = 16 - 2 \sqrt{55}$