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Surds
Exercise Set 1
Surds
1. Whether ³√4 x ³√54 is surd ?
yes
no
2. Simplify :- (√3 - √2) / (√3 + √2)
5 - 2√6
7 - 5√6
3. Write the surds in simpliest form :-
³√ (108)
³√6
³√4
4. Rationalise the denominator of
10 / (2√2 + √3)
2 ( 2√2 + 3√3)
2 ( 2√2 - √3)
5. Simplify :- 9√5 - 4√ 5 + √125
10√5
5√5
6. 8√3 - 3√27 + 6 / (√3)
6√3
√3
7. Simplify :- 4√12 - √50 - 7√48
5 (4√3 - √2)
-5 (4√3 + √2)
8. Rationalise the denominator of
( 2√2 + 1 ) / (√2 - 1)
4 + 3√2
5 + 3√2
9. State true or false:
(√11 - √7) (√11 + √7) = 4
True
False
10. Expand:
( 2 + √8)
2
12 + 8√2
12 + 4√8
Exercise Set 2
Maths
Commercial Maths
Square Trick
Square and Square roots
Cube Root
Algebraic Expressions
Exponents
Integers
Factorisation
Rational Number
Surds
Fractions
Surface area and volume
time: 0.0574901104