What is simple radical form.?

Question

It says to solve a quadratic equation with the quadratic formula in simple radical form?

Answer 1

Simplest radical form means simplifying a radical so that there are no more square roots, cube roots, 4th roots and such left to find. It also means removing any radicals in the denominator of a fraction.

For example, look at √8

Since 8 = 4 * 2

√8 = √(4 * 2)

Since 4 = 2 * 2 it is a perfect square. So take the square root of that number, and thereby take it out of the radical. In other words,

√2 * √2 = 2

So then:

√8 = √(4 * 2) = √2 * √2 * √2

= 2√2

When you solve a problem using the quadratic formula, you are being asked to use this type of method of simplifying.