AdditionAddition and subtraction of radicals involve the same

concept in adding and

subtracting integers or whole numbers.

WHAT IS A RADICAL?A RADICAL EXPRESSION OR RADICAL IS A TERM OR EXPRESSION THAT CONTAINS A

SQUARE ROOT

Parts of a radical expression

Addition• -Simplify the radical

expressions by finding the root of the radicand or factoring it out

-If there is no square root, use prime factorization on the numbers.

Simplify the terms.

Prime factorization

The first few prime numbers are: 2, 3, 5, 7, 11, 13, and 17 ...

Addition• -Simplify the radical

expressions by finding the root of the radicand or by factoring it out.

-If there is no square root, use prime factorization on the numbers.

Addition

- Simplify the terms.

- -If the exponent is greater than or equal to the index, then it can be taken outside the radicand.

subtraction

- Find the root of the radicand or factor it out.

Do the same procedure in adding radicals. The only thing to change is the operation.

subtraction--If the exponent is greater than or equal to the index, then it can be taken outside the radicand.

-simplify the terms.

REMEMBER!• We can only combine like radicals.

• Don’t forget the index. The most common value of the index (root) is 2. but it can also be 3 or more. (cube, fourth root, etc)

Let’s try!

REMEMBER!• We can only combine like radicals.

• Don’t forget the index. The most common value of the index (root) is 2. but it can also be 3 or more. (cube, fourth root, etc)