Question

Which two consecutive integers does sqrt20 fall between? Explain your reasoning for. For example, sqrt5 is between 2 and 3, because 5 is between 2^2 and 2^3

Answer 1

It falls in between 4 and 5

Explanation:

Hello!

We can find the perfect squares that are before and after 20.

Perfect squares are numbers that are made by multiplying a number by itself. Numbers that are multiplied by itself 3 times are called perfect triples.

To find the square root of a number is to find out what number multiplied by itself gives us the number.

The perfect square before 20 is 16, as it is 4², or 4 x 4

The perfect square after 20 is 25, as it is 5², or 5 x 5

Therefore, the square root of 20 will fall between 4 and 5.

Answer 2

4 and 5

Explanation:

√20 is between 4 and 5 because 20 is between
`\sf 2^4` and
`\sf 2^5`:

`\sf 2^4=16` and
`\sf 2^5=32`