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Surds
Exercise/MCQ Set 2
1. Simplify :- √50 - √32
3√2
√2
Simplify :-
2. (√5 - √3)
2
8 - 2√15
5 + 2 √15
Rationalise the denominator
3.
4√3 + 5√2
√48 + √18
(5 - 4√6) / 12
(9 + 4√6) /15
4. If x = 3 - √8, find the value of x + 1/x, x
2
+ 1/x
2
, x
2
- 1/x
2
6, 34, 24√2
6, 34, -24√2
5. Simplify :-
√175 - 4√7
√7
5√7
6. Rationalising the denominators :-
6- 4√3
6 +4√3
4√6 - 7
4√3 -7
7. Simplify :-
3√20 - 3√27 + 3√45
15√5 - 9√3
18√5 - 5√3
8.
√6 + √10
√2
√6 + √3
√3 + √5
9. Simplify (6 + √5)(3 + √5)
23 + 9√5
20 + 9√5
10. Simplify :- (3√5 - √3) (2√5 - 3 √3)
35 - 11√5
39 - 11√15
Exercise/MCQ Set 1
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