Q.1
The value of $$\sqrt {2\sqrt {2\sqrt {2\sqrt {2\sqrt 2 } } } } = ?$$
Q.2
Simplify : (3)8 × (3)4 = ?
Q.3
Simplify : $$\frac{{343 \times 49}}{{216 \times 16 \times 81}} = ?$$
Q.4
$$\frac{{{3^0} + {3^{ - 1}}}}{{{3^{ - 1}} - {3^0}}}$$   is simplified to = ?
Q.5
The value of $${\text{2}} + \sqrt {0.09} \, - \,\root 3 \of {0.008} \, - \,75\% $$       of 2.80 is = ?
Q.6
The value of $$\frac{1}{{\sqrt {\left( {12 - \sqrt {140} } \right)} }}$$   $$ -\, \frac{1}{{\sqrt {\left( {8 - \sqrt {60} } \right)} }}$$   $$ -\, \frac{2}{{\sqrt {\left( {10 + \sqrt {84} } \right)} }}$$    = is ?
Q.7
(1000)12 ÷ (10)30 = ?
Q.8
93 × 62 ÷ 33 = ?
Q.9
$$\left({\frac{{2+\sqrt 3}}{{2-\sqrt3}}+ \frac{{2 - \sqrt 3}}{{2 + \sqrt 3}} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right)$$      Simplifies to :
Q.10
Simplify : $$\left( {\frac{{\frac{3}{{2 + \sqrt 3 }} - \frac{2}{{2 - \sqrt 3 }}}}{{2 - 5\sqrt 3 }}} \right) = ?$$
Q.11
(256)0.16 × (256)0.09 = ?
Q.12
$${\left( {48} \right)^{ - \frac{2}{7}}} \times {\left( {16} \right)^{ - \frac{5}{7}}} \times {\left( 3 \right)^{ - \frac{5}{7}}} = ?$$
Q.13
The value of $${\left( {0.03125} \right)^{ - \frac{2}{5}}}$$   is = ?
Q.14
Simplify : $$\frac{1}{{\sqrt 3 + \sqrt 4 }} \,+ $$   $$\frac{1}{{\sqrt 4 + \sqrt 5 }} \,+ $$   $$\frac{1}{{\sqrt 5 + \sqrt 6 }} \,+ $$   $$\frac{1}{{\sqrt 6 + \sqrt 7 }} \,+ $$   $$\frac{1}{{\sqrt 7 + \sqrt 8 }}\, + $$   $$\frac{1}{{\sqrt 8 + \sqrt 9 }} = ?$$
Q.15
Simplify : $$\frac{{16 \times 32}}{{9 \times 27 \times 81}} = ?$$
Q.16
Given $$\sqrt 2 $$ = 1.414, the value of $$\sqrt 8 $$ $$\, + $$ $${\text{2}}\sqrt {32} $$ $$\, - $$ $$3\sqrt {128} $$ $$\,\, + $$ $${\text{4}}\sqrt {50} $$  is = ?
Q.17
The value of $${\left( {3 + 2\sqrt 2 } \right)^{ - 3}}$$   $$ + {\left( {3 - 2\sqrt 2 } \right)^{ - 3}} = ?$$
Q.18
Simplify : $$\frac{{{{1.5}^3} + {{4.7}^3} + {{3.8}^3} - 3 \times 1.5 \times 4.7 \times 3.8}}{{{{1.5}^2} + {{4.7}^2} + {{3.8}^2} - 1.5 \times 4.7 - 4.7 \times 3.8 - 3.8 \times 1.5}}$$           = ?
Q.19
Simplify : $$\frac{{0.41 \times 0.41 \times 0.41 + 0.69 \times 0.69 \times 0.69}}{{0.41 \times 0.41 - 0.41 \times 0.69 + 0.69 \times 0.69}} = ?$$
Q.20
The value of $$\sqrt {\frac{{\left( {\sqrt {12} - \sqrt 8 } \right)\left( {\sqrt 3 + \sqrt 2 } \right)}}{{5 + \sqrt {24} }}} $$       is = ?
Q.21
(19)12 × (19)8 ÷ (19)4 = (19)?
Q.22
(64)4 ÷ (8)5 = ?
Q.23
($$\sqrt 8$$ - $$\sqrt 4 $$ - $$\sqrt 2 $$) Equals to = ?
Q.24
$${\left( {64} \right)^{ - \frac{2}{3}}} \times {\left( {\frac{1}{4}} \right)^{ - 2}}$$    is equal to ?
Q.25
The value of $$\left( {\frac{{{9^2} \times {{18}^4}}}{{{3^{16}}}}} \right)$$   is = ?
Q.26
$$\frac{1}{{1 + {x^{\left( {b - a} \right)}} + {x^{\left( {c - a} \right)}}}}$$    $$ + \frac{1}{{1 + {x^{\left( {a - b} \right)}} + {x^{\left( {c - b} \right)}}}}$$    $$ + \frac{1}{{1 + {x^{\left( {b - c} \right)}} + {x^{\left( {a - c} \right)}}}} = ?$$
Q.27
(25)7.5 × (5)2.5 ÷ (125)1.5 = 5?
Q.28
$${9^3} \times {\left( {81} \right)^2} \div {\left( {27} \right)^3} = {\left( 3 \right)^?}$$
Q.29
$$\frac{{{{\left( {243} \right)}^{n/5}} \times {3^{2n + 1}}}}{{{9^n} \times {3^{n - 1}}}} = ?$$
Q.30
(17)3.5 × (17)? = 178
0 h : 0 m : 1 s