Question

solve the question please​

Answer 1

Solution

Given

• 2 + y√3 = (√3 - 1)/(√3 + 1)

Find

• Value of y

Explanation

We Have,

==> 2 + y√3 = (√3 - 1)/(√3 + 1)

Rationalize Denominator of R.H.S.

==> 2 + y√3 = (√3 - 1)(√3 - 1)/(√3 + 1)(√3 - 1)

Using Formula

• (a + b)² = a² + b² + 2ab

• (a - b)(a + b) = ( a² - b²)

==> 2 + y√3 = (√3 - 1)²/(√3² - 1²)

==> 2 + y√3 = [(√3)² + 1² - 2 × √3 ]/(3 - 1)

==> 2 + y√3 = (3 + 1 - 2√3)/2

==> 2 + y√3 = ( 4 - 2√3)/2

==> 2 + y√3 = 2 (2 - √3)/2

==> 2 + y√3 = (2 - √3)

==> y√3 = (2 - √3) - 2

==> y√3 = -√3

==> y = - √3/√3

==> y = -1

Hence

• Value of y = -1

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Answer 2

Answer:

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