Radical Binomials

Simplify 
-2√2-3√8-√5

•  -8√2-√5

• -8√2-√9

• -14√3-√7

• -2√4-√3

Perform the operation.  Express your answer in simplest form.

• 4√47

• -4√47

• 1

• 16√6  -  15√5

-3√6 ( 3√8 - 4√12)

• −36√3 + 72√2

• 36√5

• -36√2 + 72√3

• -36√5

−√5 (4 − √5)

• −4√5 + 5

• −24

• −√5 + 24

• 4√5 - 6

Multiply the radicals
(-7 + √3)(4 + √3)

• -25 - 3√3

• 37 + 11√3

• 25 - 3√3

• 21 + 11√3

Simplify the expression:

• -15 + 8√9

• 9

• 2 + 8√3 + 6√6

• 9 + 14√3

Simplify

• 5

• 4√6

• 5√6

• 6√6

Simplify the expression
2√5 - √5 + 4√5 + √3

• 6√5 + √3

• 5√5 + √3

• 6√5

• 6√3

How do you add and subtract radicals?

• Add and subtract coefficients with the SAME radicands.

• Add and subtract radicands with the SAME coefficients.

• Add and subtract coefficients with the DIFFERENT radicands.

• Add and subtract radicands with the DIFFERENT coefficients.

• Multiply the numerator and denominator by all of the radicals.

• Divide the radicals.

• Multiply the numerator and denominator by the radical in the denominator.

• It cannot be simplified.