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# Approximating Irrational Numbers (Grade 8)

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## Approximating Irrational Numbers

1.
The value of $sqrt2$ falls between 2.4 and 2.5.
1. True
2. False
2.
The value of $sqrt99$ falls between 9 and 10.
1. True
2. False
3.
Which of these is the closest approximation for $sqrt3$?
1. $1.7$
2. $1.732$
3. $1.327$
4. $1.3$
4.
Which of these is the closest approximation for $sqrt(11$?
1. 3.336
2. 3.317
3. 3.32
4. 3.3166
5.
Which of these is the closest approximation for $sqrt(88$?
1. 9.3810
2. 9.38083
3. 8.28083
4. 9.3808
6.
Which of these is the closest approximation for $sqrt(15$?
1. 3.879283
2. 3.873183
3. 3.872983
4. 3.872298
7.
Which of these is the closest approximation for $sqrt3/4$?
1. $0.433$
2. $0.4431$
3. $0.4331$
4. $4.33$
8.
Which of these is the closest approximation for $3/sqrt8$?
1. 1.06076
2. 1.06067
3. 1.06166
4. 1.06066
9.
Which of these is the closest approximation for $sqrt(33)/2$?
1. 2.91
2. 2.88
3. 2.87
4. 3.10
10.
Which of these is the closest approximation for $1/sqrt3$?
1. 0.57740
2. 0.57735
3. 1.57735
4. 0.05774
11.
Which of these is the closest approximation for $sqrt(55)/7$?
1. 1.05946
2. 1.05950
3. 1.05945
4. 1.59456
12.
Which of these is the closest approximation for $99/sqrt13$?
1. 27.4576
2. 27.4580
3. 27.4577
4. 27.4575
13.
Which of these is the closest approximation for $sqrt(21)/9$?
1. 0.60
2. 0.52
3. 0.51
4. 0.50
14.
Which of these is the closest approximation for $sqrt(77)/99$?
1. 0.88636
2. 0.08864
3. 0.9100
4. 0.088636
15.
Which of these is the closest approximation for $sqrt(74/31$?
1. 1.54510
2. 2.0000
3. 1.05450
4. 1.54502
16.
Which of these is the closest approximation for $sqrt(36/45$?
1. 0.89443
2. 0.89442
3. 0.89444
4. 0.90000
17.
Which of these is the closest approximation for $sqrt(33/2$?
1. 4.06
2. 2.87
3. 4.11
4. 4.07
18.
Which of these is the closest approximation for $sqrt(99/100$?
1. 0.99498
2. 0.99499
3. 0.99500
4. 0.99487
19.
Which of these is the closest approximation for $sqrt(1/900$?
1. 0.0333
2. 0.100
3. 0.033
4. 0.333
20.
Which of these is the closest approximation for $sqrt(59/2$?
1. 5.09
2. 5.43
3. 5.02
4. 5.20
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