Answer :
Given :
- 6/√5+2
- 1/8+5√2
To find :-
- The denominator in rationalized form .
Solution :-
Using Identity :-
- a² - b² = (a+b)(a-b)
Solution 1:-
- 6/√5+2
- 6(√5-2)/(√5+2)(√5-2)
- 6(√5-2)/√5²-2²
- 6(√5-2)/5-4
- 6√5 - 12
Solution 2:-
- 1/8+5√2
- 1(8-5√2)/(8+5√2)(8-5√2)
- 8-5√2/8²-(5√2)²
- 8-5√2/64-50
- 8-5√2/14