Question

rationalize the denominator 10/√3+1​

Answer 1

$\frac{10}{ \sqrt{3} + 1 }$

Multiplying both denominator and numerator by √3-1 to rationalise the number.

$\frac{10}{ \sqrt{3} + 1 } \times \frac{ \sqrt{3} - 1 }{ \sqrt{3} - 1}$

$= \frac{10( \sqrt{3} - 1) }{( \sqrt{3} + 1)( \sqrt{3} - 1)}$

$= \frac{10( \sqrt{3 } - 1)}{3 - 1}$

$= 5( \sqrt{3} - 1)$