The nth root is unstoppable. You must sit back and wait. Hopefully you will survive it as it takes its deadly course.

Write an algorithm to find the root of quadratic equation

You seem to be unaware of the fact that you can obtain the answer easily by using the scientific calculator that comes as part of your computer. In general the nth root is extremely difficult to find.

Shifting in easily accomplished in hardware.

The radical symbol, otherwise known as the "square root sign", lets you take the nth root of any number.

Any number can be placed above, and slightly to the left, of the square root sign, to indicate the nth root. For example, the cube root of 27 is 3.

The number inside the square root sign (that which you are finding the square root of), is called the radicand.