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State whether the following is true or false.

A rational number between $\sqrt{2}$ and $\sqrt{3}$ is 1.5.

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True

False

answer is A.

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Detailed Solution

Given number is 1.5, and range is

\sqrt{2}

and

\sqrt{3}

.
Rational numbers are numbers that are expressed as fractions. They can be positive, negative or zero. Rational numbers are of the form

\frac{p}{q}

, where q≠0. Rational numbers can be non-terminating and repeating.
We know that

\sqrt{2} = 1.4142135 . . . .

and

\sqrt{3} = 1.732050807 . . .

So, it is clear that

1.5

is a rational number and it lies between

1.4142135 . . .

and

1.732050807 . . .

Therefore, option (1) is correct and the statement is true.

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