Question

√3-1/√3+1 = 2-√3 prove it
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Answer 1

Answer:

We have to use the rationalization method...

Step-by-step explanation:

1. Multiply the numerator and denominator by (√3-1)

= (√3-1)/√3+1) × (√3-1)/(√3-1)

= (√3-1)²/(√3²- 1²)

By using the identity (a+b)²= a²-2ab+b², simplify the numerator and by using (a²-b²)= (a+b)(a-b), simplify the denominator.

= (√3²-2√3+1²)/(√3²-1²)

=(3-2√3+1)/(3-1)

=(4-2√3)/2

Taking 2 as common from numerator and denominator, we get:

=2(2-√3)/2

2-√3

Hence proved

/ means divide in the above question

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