Question

plz answer rationalize ​

Answer 1

Answer:

I hope you find the solution helpful :)

Step-by-step explanation:

We know root8 = 2root2

So, 55root8 = 55*2root2 = 110root2, 12root8 = 24root2

Substituting in the main equation,

(110$\sqrt{2}$ - 24$\sqrt{2}$ )/ 2 + 2$\sqrt{2}$

= (86√2) / 2(1+√2)

= 43√2 / 1+√2

Rationalizing,

(43√2 * 1-√2) / (1+√2 * 1-√2)

= (43√2 - 86)/ (1-2)

= 86 - 43√2