Question

Plz help me in 3 ques

Answer 1

Answer:a =11 & b=6.

Step-by-step explanation:

Hi the steps are given below

Please make it the BRAINLIEST

Answer 2

Answer:

a = 11, b = -6

Step-by-step explanation:

(iii)

$Given:\frac{5 + 2\sqrt{3}}{7+4\sqrt{3}} = a + b\sqrt{3}$

On rationalizing, we get

$=>\frac{5+2\sqrt{3}}{7+4\sqrt{3}}*\frac{7-4\sqrt{3}}{7-4\sqrt{3}}$

$=>\frac{(5+2\sqrt{3})(7-4\sqrt{3})}{(7+4\sqrt{3})(7-4\sqrt{3})}$

$=>\frac{35-20\sqrt{3}+14\sqrt{3}-24}{(7)^2-(4\sqrt{3})^2}$

$=>\frac{11-6\sqrt{3}}{49-48}$

$=>11 - 6\sqrt{3}$

Now,

⇒ 11 - 6√3 = a + b√3

⇒ 11 + (-6)√3 = a + b√3

On comparing, we get

a = 11, b = -6

Hope it helps!