Question

I need help answering this question.

Answer 1

You have to determine which of the given square roots can be expressed as a fraction:

1) The square root of one is 1

$\sqrt[]{1}=1$

One can be expressed as a fracion:

$1=\frac{1}{1}$

So it is a rational number.

2) The square root of 2 is an irrational number and cannot be expressed as a fraction.

$\sqrt[]{2}=1.414213562\ldots..$

Its decimal expantion has no end, i.e. it has infinite decimal values.

3) Square root of three is an irrational number and cannot be expressed as a fraction.

$\sqrt[]{3}=1.732050808\ldots.$

4) The square root of 5 is an irrational number and cannot be expressed as a fraction.

$\sqrt[]{5}=2.236067977\ldots..$

In conclusion the only rational number in the given set is the square root of 1.