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.

Respuesta :

Given:

The number is [tex]\sqrt{10}[/tex].

To find:

The correct values for each blank.

Solution:

The given number is [tex]\sqrt{10}[/tex].

We know that, 10 lies between two consecutive perfect squares 9 and 16, [tex]\sqrt{10}[/tex]. repeating is located between the square roots of these two numbers.

[tex]\sqrt{9}=3\text{ and }\sqrt{16}=4[/tex]

This means [tex]\sqrt{10}[/tex] repeating is located between 3 and 4.

So, [tex]\sqrt{10}[/tex] repeating is less than 5.

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