Question

1. Select all irrational numbers.

Square root of 10
Square root of 27

Square root of 49

Sq. Rt 64

Sq. Rt 99

2. Select all irrational numbers.



14√

24√

34√

44√

54√

3. Select "Rational" or "Irrational" to classify each number.
0.25
Sq. Rt. 0.25
Sq. Rt. 0.33
Be 100% SURE

Answer 1

14√

24√ - Irrational

34√ - Irrational

44√ - Irrational

54√ - Irrational

Answer 2

Answer: (1)
`√(10), √(27), √(99)`, (2)
`√(14), √(24), √(34), √(44), √(54)`, (3)
`√(0.33)` are irrational numbers.

Step-by-step explanation:

(1)

A number is called an irrational number if it can not be written as a simple fraction form. For example
`√(2), √(3),√(5),...`.

If a real number is multiplied by an irrational number then the result is an irrational number.

`√(49)=7`

`√(64)=8`

Since the result of these square roots are a rational number, therefore
`√(49),  √(64)` these are rational numbers and
`√(10), √(27), √(99)` are irrational numbers.

(2)

`√(14) =√(7) √(2)`

`√(24) =2√(6)`

`√(14) =√(17) √(2)`

`√(44) =2√(11)`

`√(54) =3√(6)`

All the number in the option can not be written in the form of simple fraction, so all the options represents the irrational numbers.

(3)

`0.25=(1)/(4)`

`√(0.25) =0.5=(1)/(2)`

`√(0.33) =(√(33))/(10)`

Therefore, the number
`√(0.33)` is an irrational number. The numbers
`0.5,√(0.25)` are rational numbers.