Question

find a and b if root 11 - 7 divided by root 11 + 7 is equal to a minus b root 77​
pls it is urgent

Answer 1

Step-by-step explanation:

what about a here?? i think the que is incomplete

Answer 2

Given:

(√11 - 7) / (√11 + 7) = a - b√77

val(a) = ?, val(b) = ?

Solution:

In L.H.S. :

After rationalizing the denominator, we get :

(11 - 14√11 + 49) / (11 - 49)

⇒ L.H.S. = (60 - 14√11) / (-38)

⇒ L.H.S. = 2(30 - 7√11) / 2(-19)

⇒ L.H.S. = -(30 - 7√11) / 19

⇒ L.H.S. = -30 + 7√11 / 19

⇒ L.H.S. = (-30/19) + (7√11/19)

            or

⇒  L.H.S. = { (-30/19) + (7√11/19) } ± 0√77     ------------- Equation 1

From Equation 1:

{ (-30/19) + (7√11/19) } ± 0√77 = a - b√77

⇒ a = { (-30/19) + (7√11/19) } ,  b = 0

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