Question

Irrational number between root 7 and root 11?

Answer 1

Finding one of the rational numbers between your two square roots is easy. . Just find the only perfect square between 7 and 11. 9. Is a perfect square, the square root of 9 is rational. What is the square root of 9 equal to?

Of course, you could pick any decimal number that is greater than the square root of 7, and less than the square root of 11. For example 2.7 squared is 7.29, So 2.7, 2.8, 2.9, 3.1. All fit the bill I'll let you figure out. If 3.2 or 3.3 would also work.

Let’s Find an irrational number between your two numbers.

Square your two numbers, and we get 7 + 11.

Pick any rational number between 7 + 11 that does not end in 9, 0, 1, 4, 5, or 6. Those numbers are potentially perfect squares, whereas if they end in any other digit, we know they are not a perfect square. I'll let you figure out why that is true.

So right off the bat, we could say that the square root of 8. Is an irrational number between √ 7 and √ 11?

The square root of 9.8 and the square root of 10.2 would also be irrational numbers. That are between your two numbers. . See how easy it is.

Step-by-step explanation:

I have told you in step wise

maybe this will help you

Answer 2

Step-by-step explanation:

Hope its helpfull to you.