Question

tell whether the principal roots of each number is rational or irrational
1. √400
2. √64
3. √0.01
4. √26
5. √1/49
6. √13,689
7. √1000
8. √2.25
9. √39
10. √12.1

Answer 1

Answer:

1. 20 , Rational

2. 8 , Rational

3. Irrational

4. Irrational

5. Irrational

6. 117 , Rational

7. Irrational

8. Irrational

9. Irrational

10. Irrational

Answer 2

Given :  

1. √400

2. √64

3. √0.01

4. √26

5. √1/49

6. √13,689

7. √1000

8. √2.25

9. √39

10. √12.1  

To Find :     principal roots of each number is rational or irrational

Solution:

Rational numbers are real numbers which can be written in the form p/q where p and q are integers and q≠0

All real numbers which are not rational  are irrationals.

All integers , Terminating Decimals , non terminating recurring decimals are Rational number

1. √400  = 20         Rational Number

2. √64   =  8           Rational Number

3. √0.01  = 0.1        Rational Number

4. √26  = √2 * √3   Irrational Number

5. √1/49  = 1/7         Rational Number

6. √13,689  = 117      Rational Number

7. √1000 = 10√10     Irrational Number

8. √2.25  = 1.5        Rational Number

9. √39 = √3 * √13   Irrational Number

10. √12.1   = 1.1√10   Irrational Number

Identified numbers as Rational and irrational

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