Question

if a=2-root3, find (a-1/a)3

Answer 1

Step-by-step explanation:

Given:-

a = 2 - √3

To find:-

(a - 1/a) × 3

Solution :-

(2 - √3 - 1/2 - √3) × 3

[(2 - √3)² - 1 ÷ (2 - √3)]× 3

[2² + √3² - 2×2×√3 - 1 ÷ (2 - √3)] × 3

[4 + 3 - 4√3 - 1 ÷ (2 - √3)] × 3

[6 - 4√3 ÷ 2 - √3 ] × 3

[2√3(√3 - 2) ÷ (2 - √3)] × 3

[-2√3] × 3

-6√3

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