Question

Find the square root of $64$ by repeated subtraction method.

Answer 1

Finding the square root using repeated subtraction method

To find the square root of $64$ by repeated subtraction, we have to subtract successive odd numbers starting from $1$ to $64$ until we get the result $0$. The number of steps required to obtain the result $0$ is the square root of the given number.

$$\begin{gathered} 64–1=63 \\ 63–3=60 \\ 60–5=55 \\ 55–7=48 \\ 48–9=39 \\ 39–11=28 \\ 28–13=15 \\ 15-15=0 \end{gathered}$$

Thus, starting from $64$, we have subtracted $8$ times to obtain $0$.

Therefore, the square root of $64$ is $8$.