Question

Rationalize the denominator of the expression 2 - √ 3 / √ 6

Answer 1

Explanation:

`\to (2 - √(3) )/( √(6) )`

• Conjugate of √a is √a. So, conjugate of √6 is √6. Multiplying √6 with both numerator and denominator.

`\to (2 - √(3) )/( √(6) ) * ( √(6) )/( √(6) )`

`\to \frac{ √(6)( 2 - √(3) )}{ {(√(6))}^(2) }`

`\to ( 2 √(6) - √(18) )/( 6 )`

`\to ( 2 √(6) - 3 √(2) )/( 6 )`

`\to ( √(6))/(3) - ( √(2) )/( 2 )`

Hence, rationalised!