Question

rationalise the dinominator of 1÷(5-√7)



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Answer 1

(5+√7)/18 is your answer.

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Step-by-step explanation:

1/(5-√7)

To rationalize the denominator, multiply (5+√7) to both numerator and denominator of the number.

{1×(5+√7)}/{(5-√7)(5+√7)} = (5+√7)/(5²-√7²). [Use identity - a²-b² = (a+b)(a-b)]

= (5+√7)/(25-7)

= (5+√7)/18

Hence,the number is rationalized.

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