Question

0.2 Rationalize the denomination 1/4-√3​

Answer 1

1/(4 - √3)

(4 + √3) /(4 + √3) (4 - √3)

(4 + √3) (4^2 - (√3)^2)

(4 + √3) / (16 - 3)

(4 + √3)/13

Answer 2

Step-by-step explanation:

Solution :

For rationalising the denominator we have to Multiply the numerator and denominator by the denominator by changing it's sign .

• (+) changes into (-)
• (-) changes into (+)

= 1/(4 - √3)

= 1/(4 - √3) × (4 + √3)/(4 + √3)

= (4 + √3)/(4 - √3) (4 + √3)

By using identity (a + b)(a - b) = a² - b² rationalize the denominator.

= (4 + √3)/(4²- √3²)

= (4 + √3)/(16 - 3)

= (4 + √3)/13

━━━━━━━━━━━━━━━━━━━━━━━━━