Question

Is √10 repeating, greater than, less then, or equal to five? Because 10 lies between two consecutive perfect squares (in increasing order) ______ and ______, √10 repeating is located between the square roots of these two numbers. This means √10 repeating is located between ______ and ______, so √10 repeating is less than 5.

Answer 1

Given:

The number is
`√(10)`.

To find:

The correct values for each blank.

Solution:

The given number is
`√(10)`.

We know that, 10 lies between two consecutive perfect squares 9 and 16,
`√(10)`. repeating is located between the square roots of these two numbers.

`√(9)=3\text{ and }√(16)=4`

This means
`√(10)` repeating is located between 3 and 4.

So,
`√(10)` repeating is less than 5.

Therefore, Blank-1=9, Blank-2=16, Blank-3=3 and Blank-4=4.