Question

If 3+√7/3-√7=a+b√7 then (a,b) =​

Answer 1

Answer:

By rationalizing denominator ,

(3 +√7)/( 3 - √7) =  (3 +√7)²/( (3)² - (√7)²)

                           = (16 + 6√7) / 9 - 7

                           = 8 + 3√6

∴ a = 8 and b = 3

PLZ MARK AS BRAINLEST

Answer 2

$\huge\boxed{ \mathbb\red{❥A} \green{n} \mathbb\blue{S} \purple{w} \mathbb \orange{E} \pink{r}} \:</p><p>$

$3+√7 / 3-√7$

Multiply

$3+√7$

on both numerator and denomerator

$(3+√7)² /  (3-√7)(3+√7) \: = a+b√7$

(3+√7)² /  (3-√7)(3+√7) = a+b√7

⇒9 + 7 + 6√7 / 3² -√7²   = a+b√7

⇒16+ 6√7 / 9-7              =a+b√7

⇒16+ 6√7 / 2                  =a+b√7

⇒2(8+3√7)/2                  =a+b√7

⇒8 +3√7                         =a+b√7

Hopes it help you✌️✌️