In the first week back of semester 2, we relearned how to do radicals! Radicals are made up of 3 parts, the index (n), the radicand (x), the radical symbol (√) and sometimes the coefficient .

Explanation for each part:

Index:

• Shows you how many times you need to multiply the same number to get the radicand
• Has to be a Natural number.
• If there is no number in the index assume it is represented by an invisible 2.

Radicand:

• The radicand is the number inside the radical symbol. It’s the value for which you’re finding the root.

Radical:

• The radical symbol represents the root operation.

Coefficient:

• A numerical factor that multiplies the entire radical expression.
• It should be applied after the root

  So now that we have a basic understanding of the parts of a radical lets try an example.

  

  In this equation, the coefficient is 5, the index is 3 (a cube root), and the radicand is 27. It’s asking, “What number, when multiplied 3 time , gives you 27”

  Well we know that 9×3=27 and 3×3=9 this mean the cube root of 27 is

  

  That leaves us with this 5×3 and we simply just multiply the coefficient with the root number to get our answer of 15, well wasn’t that simple?