Question

How many irrational numbers are there between 11−−√ and 17−−√?

a) 6
b) 7
c) 5
d) 8

Answer 1

To find the number of irrational numbers between √11 and √17, we can use the concept of square roots to approximate the values and determine the range of numbers. The answer is 5. The correct option is c.

Step-by-step explanation:

To find the number of irrational numbers between √11 and √17, we need to consider all the irrational numbers that lie between these two numbers. Irrational numbers are numbers that cannot be expressed as a fraction or a ratio. In this case, we can use the concept of square roots to find the irrational numbers between √11 and √17.

We know that √11 is approximately 3.3166 and √17 is approximately 4.1231. Therefore, the numbers between these values are:

√11 < x < √17

Approximating the numbers to two decimal places, we have:

3.32 < x < 4.12

So, there are 5 irrational numbers between √11 and √17. Hence, c is the correct option.