Square Roots and Cube Roots
Exam Duration: 45 Mins Total Questions : 30
The value of \(\sqrt { 10+\sqrt { 25+\sqrt { 108+\sqrt { 154+\sqrt { 225 } } } } } \)is:
- (a)
4
- (b)
6
- (c)
8
- (d)
10
\(\sqrt { 176+\sqrt { 2401 } } \) is equal to:
- (a)
14
- (b)
15
- (c)
18
- (d)
24
\(\left( \sqrt { \frac { 225 }{ 729 } } -\sqrt { \frac { 25 }{ 144 } } \right) \div \sqrt { \frac { 16 }{ 81 } } =?\)
- (a)
\(\frac { 1 } { 48 }\)
- (b)
\(\frac {5 } { 48 }\)
- (c)
\(\frac {5 } { 16 }\)
- (d)
None of these
\(\sqrt { 110\frac { 1 }{ 4 } } =?\)
- (a)
10.25
- (b)
10.5
- (c)
11.5
- (d)
19.5
\(\sqrt { \frac { 25 }{ 81 } -\frac { 1 }{ 9 } } =?\)
- (a)
\(\frac { 2 } { 3 }\)
- (b)
\(\frac { 4 } {9 }\)
- (c)
\(\frac { 16 } { 81 }\)
- (d)
\(\frac { 25 } { 81 }\)
What is the square root of 0.16?
- (a)
0.004
- (b)
0.04
- (c)
0.4
- (d)
4
\(\sqrt { 0.01+\sqrt { 0.0064 } } =?\)
- (a)
0.03
- (b)
0.3
- (c)
0.42
- (d)
None of these
If \(\sqrt { .00000676 } =.0026,\) the square root of 67,60,000is:
- (a)
\(\frac { 1 } { 26 }\)
- (b)
26
- (c)
260
- (d)
2600
\(28\sqrt { ? } +1426=\frac { 3 }{ 4 } of\quad 2872\)
- (a)
576
- (b)
676
- (c)
1296
- (d)
1444
\(\sqrt { \frac { .0196 }{ ? } } =0.2\)
- (a)
0.49
- (b)
0.7
- (c)
4.9
- (d)
None of these
\(\frac { \sqrt { 24 } +\sqrt { 216 } }{\sqrt { 96 } } \)=?
- (a)
\(2\sqrt { 6 } \)
- (b)
2
- (c)
\(6\sqrt { 2 } \)
- (d)
\(\frac { 2 }{ \sqrt { 6 } } \)
\(\sqrt { \frac { 0.204\times 42 }{ 0.07\times 3.4 } } \)is equal to :
- (a)
\(\frac { 1 } { 6 }\)
- (b)
0.06
- (c)
0.6
- (d)
6
The value of:\(\sqrt { \frac { { (0.03) }^{ 2 }+{ (0.21) }^{ 2 }+{ (0.065) }^{ 2 } }{ { (0.003) }^{ 2 }+{ (0.021) }^{ 2 }+{ (0.0065) }^{ 2 } } } \)is:
- (a)
0.1
- (b)
10
- (c)
\({10} ^ { 2 }\)
- (d)
\({10 } ^ { 3 }\)
The square root of \((7+3\sqrt { 5 } )(7-3\sqrt { 5 } )\) is:
- (a)
\(\sqrt { 5 }\)
- (b)
2
- (c)
4
- (d)
\(3\sqrt { 5 }\)
\({ (\sqrt { 2 } +\frac { 1 }{ \sqrt { 2 } } ) }^{ 2 }\) is equal to :
- (a)
\(2\frac { 1 }{ 2 } \)
- (b)
\(3\frac { 1 }{ 2 } \)
- (c)
\(4\frac { 1 }{ 2 } \)
- (d)
\(5\frac { 1 }{ 2 } \)
If a=0.1039, then the value of \(\sqrt { { 4a }^{ 2 }-4a+1+3a } \)is:
- (a)
0.1039
- (b)
0.2078
- (c)
1.1039
- (d)
2.1039
If 3a=4b=6c and a+b+c=27\(\sqrt { 29 }\), then \(\sqrt { { a }^{ 2 }+{ b }^{ 2 }+{ c }^{ 2 } } \)is:
- (a)
\(3\sqrt { 29 }\)
- (b)
81
- (c)
87
- (d)
None of these
Which one of the following numbers has rational square root?
- (a)
0.4
- (b)
0.09
- (c)
0.9
- (d)
0.025
The value of \(\frac { 1+\sqrt { 0.01 } }{ 1-\sqrt { 0.1 } } \) is close to :
- (a)
0.6
- (b)
1.1
- (c)
1.6
- (d)
1.7
If \(\sqrt { 6 } =2.499,\)then the value of \(\frac { 3\sqrt { 2 } }{ 2\sqrt { 3 } } \)is :
- (a)
0.6122
- (b)
0.8163
- (c)
1.223
- (d)
1.2245
The least number by which 294 must be multiplied to make it a perfect square is:
- (a)
2
- (b)
3
- (c)
6
- (d)
24
The least number by which 1470 must be divided to get a number which is a perfect square is:
- (a)
5
- (b)
6
- (c)
15
- (d)
30
The greatest four-digit-perfect square number is:
- (a)
9000
- (b)
9801
- (c)
9900
- (d)
9981
Given \(\sqrt { 5 }=2.2361,\sqrt { 3 }=1.7321,\)then \(\frac { 1 }{ \sqrt { 5 } -\sqrt { 3 } } \)is equal to :
- (a)
1.98
- (b)
1.984
- (c)
1.9841
- (d)
2
\((2+\sqrt { 2 } +\frac { 1 }{ 2+\sqrt { 2 } } +\frac { 1 }{ \sqrt { 2 } -2 } )\)simplifies to:
- (a)
2-\(\sqrt { 2 }\)
- (b)
2
- (c)
\(2+\sqrt { 2 }\)
- (d)
\(2\sqrt { 2}\)
\(\frac { \sqrt { 7 } +\sqrt { 5 } }{ \sqrt { 7 } -\sqrt { 5 } } \)is equal to :
- (a)
1
- (b)
2
- (c)
6-\(\sqrt { 35 }\)
- (d)
\(6+\sqrt { 35 }\)
If x=\(\frac { \sqrt { 3 } +1 }{ \sqrt { 3 } -1 } \) and y= \(\frac { \sqrt { 3 } -1 }{ \sqrt { 3 } +1 } \), then the value of \(({ x }^{ 2 }+{ y }^{ 2 })\)is:
- (a)
10
- (b)
13
- (c)
14
- (d)
15
If a=\(\frac { \sqrt { 5 } +1 }{ \sqrt { 5 } -1 } \), and b= \(\frac { \sqrt { 5 } -1 }{ \sqrt { 5 } +1 } \), the value of \(\left( \frac { { a }^{ 2 }+ab+{ b }^{ 2 } }{ { a }^{ 2 }-ab-{ b }^{ 2 } } \right) \) is:
- (a)
\(\frac { 3 } { 4 }\)
- (b)
\(\frac { 4 } { 3 }\)
- (c)
\(\frac { 3 } { 5 }\)
- (d)
\(\frac { 5 } { 3 }\)
The cube root of .000216 is:
- (a)
.6
- (b)
.06
- (c)
.006
- (d)
None of these
What is the smallest number by which 3600 be divided to make it a perfect cube?
- (a)
9
- (b)
50
- (c)
300
- (d)
450