Question

If y=2+root 3, then find y-1/y

Answer 1

Answer:

y = 2+$\sqrt{3}$

• 1/y = 1/(2+$\sqrt{3}$)

• 1/y = 1/(2+$\sqrt{3}$) × (2- √3)/(2-√3)

• 1/y = 1/(2+$\sqrt{3}$) × (2- √3)/(2-√3)

• 1/y = (2-√3) / {(2)² - (√3)²}
• 1/y = (2-√3)
• y - 1/y = 2+√3 -(2 - √3)
• y - 1/y = 2 + √3 - 2 + √3
• y - 1/y = 2√3

Step-by-step explanation:

by the help of rationalization you can easily do this!