Question

find an irrational number 2 and 3​

Answer 1

Answer:

2 is an irrational number

Step-by-step explanation:

Answer 2

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√5, √6, √7 and √8 is your answer

Explanation:

We know that :-

• The square roots and cube roots of most numbers are irrational.

Concept used:

• Square root of non-perfect squares is irrational so we used this concept here to solve.

Solution:-

Step:1

ㅤㅤㅤSquare of 2 is 4 and Square of 3 is 9.

Step:2

ㅤㅤㅤChoose two numbers between 4 and 9

Let's Take: 6 and 7

We have:

• 4 < 6 < 9

• 4 <7 < 9

Taking square root on all the three terms.

We get:

• √4 < √6 < √9

• √4 <√7 <√9

Simplifying:

We get:

• 2 <√6 < 3

• 2 < √7 < 3

Hence, we get √6 and √7.

Additional Info:-

• There are infinite irrational numbers between two rational numbers.

• So, you can obtain as many irrational numbers as you want between the numbers.

Hope it helps ya!!

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