Question

rationalize the following 1/2-√7​

Answer 1

Answer:

- {(2 +√7)/3}

Step-by-step explanation:

1/(2-√7)

= {1 × (2 + √7)}/{(2 - √7)(2 + √7)}

                               ...multiplying (2+√7) on both denominator and numerator

= (2 + √7)/{2² - (√7)²}                  ... using (a+b)(a-b) = a² - b² identity

= (2 + √7)/4 - 7

= - {(2 +√7)/3}

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