Question

Please answer the 6th question with explaination fast!!!!!!!!!!

Answer 1

Given : m = 7 - 4√3.

                = 4 + 3 - 4√3

                = (2)^2 + (√3)^2 - 2(2)(√3)  [a^2 + b^2 - 2ab = (a - b)^2]

                = (2 - √3)^2.

So, m = (2 - √3)^2

Then, √m = (2 - √3).

Now,

⇒ 1/√m

⇒ 1/(2 - √3) * (2 + √3)/(2 + √3)

⇒ (2 + √3)/(2^2 - √3)^2

⇒ (2 + √3)/4 - 3

⇒ 2 + √3.

Therefore:

⇒ √m + (1/√m)

⇒ 2 - √3 + 2 + √3

⇒ 4.

Hope it helps!