a) ³√25 b) ³√5 c) √40 d) √5
2) 2√5 + √5 is equal to
a) 2 √10 b) 10 c) 3√5 d) 3 √10
3) The perimeter of the given figure is
4) On simplification of (2√5/3 - √2/2 + 6√11) + (√5/3 + 3√2/2 - √11), we get
a) √5 + √2 + 5√11)
b) √5/2 + 2√2 + √11
c) √5 + √2 + 6√11
d) √5 + 2√2 + 5√11
5) The product of ³√7 and √5 is
a) ³√35 b) ⁶√35 c) ⁶√6125 d) ⁶√1225
6) The product of √18/6 and √18/3 is
a) 1 b) 1/12 c) 1/3 d) √2
7) √5 x √7 x √15 x √21 in simplified form is
a) √105 b) √210 c) 105 d) 210
8) (3 + √3)(3 - √3) on simplification becomes equal to
a) 18 b) 2√3 c) 6 d) 9
9) The value of (3+ √5)²(3 - √5)² is
a) 15 b) 16 c) 4 d) 14
10) ³√250 ÷ ³√10 in simplified form is equal to
a) ³√25 b) 5 c) √5 d) ³√2500
11) 30/(√20 + √5) is equal to
a) 10/3√5 b) 30/√5 c) 10/√5 d) 12 √5
12) 6/(√12 - √3) is equal to
a) 1/√3 b) 2/√3 c) 2√3 d) 6√3
13) If x = 9 - 4√5, then x + 1/x is equal to
a) 8√5 b) - 8√5 c) 18 d) 81
14) If √3= 1.732, then the value of 1/√3 approximately is
a) 0.866 b) 0.433 c) 0.288 d) 0.577
15) If √2= 1.414, then the value of √3 ÷ √6 up to three places of decimal is
a) 0.235 b) 0.707 c) 1.414 d) 0.471
16) Two classmates Salma and Anil simplified two different expressing during the revision hour and explained to each other their simplifications. Salma explains simplification of √2/(√5 + √3) and Anil explain simplification √28 + √98 + √147.
Write both the simplification.
What value does it depict ?
17) Varun was facing some difficulty in simplifying 1/(√7 + √3). His classmate Priya gave him a clue to Rationalise the denominator for sumplifiu. Varun simplified the expression and thanked Priya for his goodwr.
How did Varun simplify 1/(√7 - √3) ?
What value does it indicate ?
18) For rationalising the denominator of the expression 1/(√27 - √18), the simplest rationalisation factor is
a) √3 - √2 b) √27 - √18 c) √3 + √2 d) √18 - √27
19) The product ³√2 ⁴√2 ¹²√32 equal to
a) √2 b) ¹²√2 c) 2 d) ¹²√32
20) 14√112 + 28√7 in its simplified form is equal to
a) 2 b) 1/2 c) 8 d) 1/8
21) Simplify: (5 - √6)/(5+ √6) by rationalising the denominator.
22) Find the value of (2- √3)/√3. It is given that √3= 1.732.
23) Simplify: (2/3) √(144/64) and state whether the result is a rational number or an irrational number.
24) Simplify: 2 ³√40 - 4 ³√320 + 3 ³√625.
25) Evaluate: (4√3 - √2)(3√2 + 2√3).
26) Simplify: (√3 + √7)/(√27 + √63 - √28 - √48).
27) Find the value of a in the following:
6/(3√2 - 2√3) = 3√2 - a√3.
28) If x= (√5 +3)/2, find the value of x²+ 1/x².
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