Question

Which of the following real number lies between 2 and 2.5? √11
√5
3√7
3√9​

Answer 1

Answer is root 5 as it’s value = 2.23606.... and it lies between 2 and 2.5 .

Answer 2

Given,

The number range is between 2 and 2.5

The given choices of numbers = ✓11,✓5,3✓7,3✓9

To find,

The real number from the given choices which is situated in the prescribed range.

Solution,

We can easily solve this mathematical problem, by converting all the given numbers into their decimal form.

First real number = ✓11 = 3.31 (approx)

Second real number = ✓5 = 2.23 (approx)

Third real number = 3✓7 = 7.94 (approx)

Fourth real number = 3✓9 = 3×3 =9

So, the approximate value of the second real number lies between the given range.

Hence, ✓5 lies between 2 and 2.5