Mathematics
09.09.2021 00:34
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Select all irrational numbers. a.) √1/4 b.) √2/4 c.) √3/4 d.) √4/4 e.) √5/4 note:

Select all irrational numbers. a.) √1/4 b.) √2/4 c.) √3/4 d.) √4/4 e.) √5/4 note: these are all the square root of fractions they are not being !
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dcox5057
dcox5057
4,7(69 marks)
Rational: a.) and d.)
Irrational: b.), c.), and e.)
alisonnn101
alisonnn101
4,4(18 marks)

b.\sqrt{\frac{2}{4}}

c.\sqrt{\frac{3}{4}}

e.\sqrt{\frac{5}{4}}

Step-by-step explanation:

Rational number: The number which can be written as \frac{p}{q} , where p and q are integers,q\neq 0

Irrational number: When the number Β is not rational number then, the number is called irrational number.

We have to find the irrational numbers.

a.\sqrt{\frac{1}{4}}

We can write as

\frac{1}{2}

Because \sqrt{4}=2

\frac{1}{2} is a rational number because 1 and 2 are both integers and 2\neq 0

Hence, a is not true.

b.\sqrt{\frac{2}{4}}

\frac{1}{\sqrt2}

We know that \sqrt2 is irrational number.

When a rational number is divided by irrational number then we get a irrational number.

\frac{1}{\sqrt2} is irrational number.

c.\sqrt{\frac{3}{4}}

\frac{\sqrt3}{2}

We know that

\sqrt3 is irrational number.Therefore,

\frac{\sqrt3}{2} is irrational number.

Hence, option c is true.

d.\sqrt{\frac{4}{4}}

\sqrt1

\sqrt1=1

1 is rational number.

Hence, option d is false.

e.\sqrt{\frac{5}{4}}

\frac{\sqrt5}{2}

We know that \sqrt5 is irrational number

Therefore, \frac{\sqrt5}{2} is irrational number.

Hence, option e is true.

palcochran1313
palcochran1313
4,7(35 marks)
Im sorry im not sure

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