Question

Prove that (√3+1) (√3-1)=2 using this find 2/√3+√1

Answer 1

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Answer 2

To prove ,

(√3+1)(√3-1)=2

To find,

2/(√3+1)

Proof:

Let √3 be equal to a and let 1 be equal to be.

Simplyfying LHS

Substituting the assumed values :-

(a+b)(a-b)

We know, this is in the form of identity :-

(x+y)(x-y) = x^2 - y^2

Putting the values,

a^2 - b^2

Putting values of a and b:

(√3)^2-(1)^2

3-1

2

Hence, proved.

So,

2/(√3+1)

[2×(√3-1)][(√3+1)(√3-1)]

(2√3-2)/2

√3-1 ( Answer )