The real square root of [tex]\dfrac{16}{49}[/tex] is:
[tex]\pm \dfrac{4}{7}[/tex]
Square root of a number--
It is the value which when multiplied to itself gives the resultant as the given number.
Here we are asked to find the square root of:
[tex]\dfrac{16}{49}[/tex]
We know that:
[tex]\dfrac{4}{7}\times \dfrac{4}{7}=\dfrac{16}{49}[/tex]
This means that:
[tex]\dfrac{4}{7}\ \text{is a square root of}\ \dfrac{16}{49}[/tex]
and also,
[tex]\dfrac{-4}{7}\times \dfrac{-4}{7}=\dfrac{16}{49}[/tex]
This means that:
[tex]\dfrac{-4}{7}\ \text{is a square root of}\ \dfrac{16}{49}[/tex]
