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24 votes
Select all irrational numbers.

Select all irrational numbers.-example-1
User Meeme
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2 Answers

12 votes

Answer:

Option 1 , 2 & 5

Explanation:

4 & 16 are perfect squares. So , 1/4 & 1/16 are also perfect squares. But 2 , 8 & 10 are not perfect squares. So root of 1/2 , 1/8 & 1/10 are irrational numbers.

Verification :-

1)
\sqrt{ (1)/(10) } = ( √(1) )/( √(10) ) = (1)/( √(2) * √(5) )

Hence , it is irrational.

2)
\sqrt{ (1)/(8) } = ( √(1) )/( √(8) ) = (1)/(2 √(2) )

So , it is irrational.

3)
\sqrt{ (1)/(16) } = ( √(1) )/( √(16) ) = (1)/(4)

So , it is rational.

4)
\sqrt{(1)/(4) } = ( √(1) )/( √(4) ) = (1)/(2)

So it is rational.

5)
\sqrt{ (1)/(2) } = ( √(1) )/( √(2) ) = (1)/( √(2) )

Hence it is irrational.

User Umuieme
by
7.2k points
7 votes
Square root of 1/10and 1/8 and 1/2 are the only irrational numbers
User Mark Erasmus
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6.9k points