Question

write a rational number between root2 and root 5

Answer 1

Answer:

1.87

Step-by-step explanation:

We know that

$(\sqrt{2})^2= 2$ and $(\sqrt{5})^2= 5$

Now we got 2,5 which are rational.

Formula to find rational number is $=\frac{(a+b)}{2}$

Take a=2 and b=5

Now,

$=\frac{(a+b)}{2}\\\\=\frac{2+5}{2}\\\\=\frac{7}{2}\\\\=3.5$

Now find the $\sqrt{3.5}=1.87$

a rational number between $\sqrt{2}$ and  $\sqrt{5}$ is =1.87

a rational number is any number that can be expressed as the quotient or fraction of two integers.

So any number between the $\sqrt{2}=1.414$ and $\sqrt{5}=2.23$ is the a correct answer.

Basically the number is

$1.41 <n> 2.23$

Answer 2

Answer:

1.87

We know that

(\sqrt{2})^2= 2(

2

)

2

=2 and (\sqrt{5})^2= 5(

5

)

2

=5

we got 2,5 which are rational.

Formula to find rational number is =\frac{(a+b)}{2}=

2

(a+b)

Take a=2 and b=5

Now,

\begin{gathered}=\frac{(a+b)}{2}\\\\=\frac{2+5}{2}\\\\=\frac{7}{2}\\\\=3.5\end{gathered}

=

2

(a+b)

=

2

2+5

=

2

7

=3.5

Now find the \sqrt{3.5}=1.87

3.5

=1.87

a rational number between \sqrt{2}

2

and \sqrt{5}

5

is =1.87

a rational number is any number that can be expressed as the quotient or fraction of two integers.

So any number between the \sqrt{2}=1.414

2

=1.414 and \sqrt{5}=2.23

5

=2.23 is the a correct answer.

Basically the number is

1.41 < n > 2.231.41<n>2.23