Question

Rationalise the denominator of the following: a) 5+2√3/ 5−√3

Answer 1

Answer:

Here is the solution

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Answer 2

5+2√3

-----------

5-√3

5+2√3 5+√3

--------- × ----------

5-√3 5+√3

By using identity (a-b) (a+b)=a²-b²

5+2√3 × 5+√3 5+2√3 × 5+√3

-------------------------- = ------------------------

(5)²-(√3)² (25-3)= 22

(5+2√3)5+√3= 25+10√3+5√3+(2×3)

25+10√3+5√3+6

-------------------------

22

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