Question

If a = 7-4√3, Find the value of √a +1/√a

Answer 1

Hey Mate .....
Ur AnsweR Is In Attachment !!

Answer 2

⭐Hey there!

Given that :

=> a = 7- 4√3

=> ( a - 7 ) = -4√3

#squaring both sides
=> (a-7)² = (-4√3)²

=> a² + 49 -14a = 48

=> a² -14a +1 = 0

=> a² + 1 = 14a

=> (a²+1)/a = 14 --------(1)

Now we have to find the value of :

=> √a + 1/√a = X (let)
#squaring both sides

=> (√a+1/√a) = X²

=> a + 1/a + 2 = X²

=>( a²+1)/a + 2 = X²

put the value of (a²+1)/a from equation (1) :

=> 14+2 = X²

=> X² = 16

=> X = ±√16 = 4

so X = (√a +1/√a ) = 4 ans.

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⭐Hope it will help you:D