Question

8) Write two irrational numbers between 1 and 2.

Answer 1

Answer:

Let a = 1 , b = 2

1 ) Irrational number between 1 and 2

= √ ab

= √ 1 × 2

= √2

2 ) Irrational number between √2 and 2

= √ ( √2 ) × 2

= √ (2√2 )

Therefore,

Required two irrational numbers are

√2 , √( 2√2 )

I hope this helps you .

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Answer 2

Step-by-step explanation:

We have,

To find the irrational number 1 and 2.

So, we know that,

1<21+2<2

⇒1<23<2

Do square roots and we get,

1<23<2

So, 23 is one rational number.

And other number can be 1.101110

The repeating decimal.

Hence, this is the answer.