Answer:
The real square root of \(\dfrac{16}{49}\) is:
\(\pm \dfrac{4}{7}\)
Step-by-step explanation:
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:
\(\dfrac{16}{49}\)
We know that:
\(\dfrac{4}{7}\times \dfrac{4}{7}=\dfrac{16}{49}\)
This means that:
\(\dfrac{4}{7}\ \text{is a square root of}\ \dfrac{16}{49}\)
and also,
\(\dfrac{-4}{7}\times \dfrac{-4}{7}=\dfrac{16}{49}\)
This means that:
\(\dfrac{-4}{7}\ \text{is a square root of}\ \dfrac{16}{49}\)
