Question

Rationalize the denominator of : 2+√3÷2-√3

Answer 1

Hi there !!

Multiply numerator and denominator by its conjugate.

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } \\ \\ \\ \frac{(2 + \sqrt{3})^{2} }{4 - 3} \\ \\ 4 + 3 + 4 \sqrt{3} \\ \\ 7 + 4 \sqrt{3}$

Thankyou :)

Answer 2

answer:-

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} }$

$\frac{2 + \sqrt{3 {}^{2} } }{4 - 3}$

4+3+4^3

7+4^3