"Published in Newark, California, USA"
Without using a calculator, find the approximate value of √101.
Solution:
We know that the square root of 100 is 10. How do you get a square root of a number which is faster and easier than the traditional method without using a calculator?
Well, let's consider this method using the principles of differentiation method.
Let
If x = 100
dx = 101 - 100 = 1
then dy will be
Therefore
If you will use a calculator,√101 will be equal to 10.0498756211208902... which is close to the final answer.