Question

drag the tiles to the correct boxes to complete the pairs oh, match the irrational numbers with their positions on the number line

Answer 1

Convert the irrational numbers into approximate decimal numbers.

`\begin{gathered} \sqrt[]{17}=4.123 \\ \sqrt[]{19}=4.359 \\ \sqrt[]{20}=4.472 \\ \sqrt[]{23}=4.795 \end{gathered}`

It is easier to compare the values in decimal form.

The number lying between 4.47 and 4.48 is square root of 20.

The number lying between 4.35 and 4.36 is square root of 19.

The number lying between 4.12 and 4.13 is square root of 17.

The number lying between 4.79 and 4.80 is square root of 23.

Thus, the sequence of irrational numbers in the column is,

`\sqrt[]{20},\sqrt[]{19},\sqrt[]{17},\text{ }\sqrt[]{23}`