Question

rationalise the denominator​

Answer 1

Step-by-step explanation:

$\frac{1}{7 + \sqrt{3} } \times \frac{7 - \sqrt{3} }{7 - \sqrt{3} } = \frac{7 - \sqrt{3} }{ {7}^{2} - { \sqrt{3} }^{2} } = \frac{7 - \sqrt{3} }{49 - 3} = \frac{7 - \sqrt{3} }{46}$

Answer 2

To Find :

• we need to rationalize the denominator

Solution:

= 1/7 + √3

Explanation :

To rationalise the denominator we have to multiply both the denominator and numerator by denominator but we have to change the sign if it ( + ) then change it into( - ).

So,

The numerator having ( + ) so we need to change it into ( - )

= 1/(7 + √3) × (7 - √3)/(7 - √3)

= (7 - √3)/[(7 + √3)(7 - √3)]

Solving denominator by using identity (a + b)(a - b) = a² - b²

= (7 - √3)/7² - (√3)²

= (7 - √3)/49 - 3

= (7 - √3)/46

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